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Simplifying 5(2x + 3) + -4(2x + -8x) + 7(3x) + 2[4(-8 + -1x) + 2(7x + -9) + 1] = 3x + -21 + 6x + -1(-8) Reorder the terms: 5(3 + 2x) + -4(2x + -8x) + 7(3x) + 2[4(-8 + -1x) + 2(7x + -9) + 1] = 3x + -21 + 6x + -1(-8) (3 * 5 + 2x * 5) + -4(2x + -8x) + 7(3x) + 2[4(-8 + -1x) + 2(7x + -9) + 1] = 3x + -21 + 6x + -1(-8) (15 + 10x) + -4(2x + -8x) + 7(3x) + 2[4(-8 + -1x) + 2(7x + -9) + 1] = 3x + -21 + 6x + -1(-8) Combine like terms: 2x + -8x = -6x 15 + 10x + -4(-6x) + 7(3x) + 2[4(-8 + -1x) + 2(7x + -9) + 1] = 3x + -21 + 6x + -1(-8) Remove parenthesis around (-6x) 15 + 10x + -4 * -6x + 7(3x) + 2[4(-8 + -1x) + 2(7x + -9) + 1] = 3x + -21 + 6x + -1(-8) Multiply -4 * -6 15 + 10x + 24x + 7(3x) + 2[4(-8 + -1x) + 2(7x + -9) + 1] = 3x + -21 + 6x + -1(-8) Remove parenthesis around (3x) 15 + 10x + 24x + 7 * 3x + 2[4(-8 + -1x) + 2(7x + -9) + 1] = 3x + -21 + 6x + -1(-8) Multiply 7 * 3 15 + 10x + 24x + 21x + 2[4(-8 + -1x) + 2(7x + -9) + 1] = 3x + -21 + 6x + -1(-8) 15 + 10x + 24x + 21x + 2[(-8 * 4 + -1x * 4) + 2(7x + -9) + 1] = 3x + -21 + 6x + -1(-8) 15 + 10x + 24x + 21x + 2[(-32 + -4x) + 2(7x + -9) + 1] = 3x + -21 + 6x + -1(-8) Reorder the terms: 15 + 10x + 24x + 21x + 2[-32 + -4x + 2(-9 + 7x) + 1] = 3x + -21 + 6x + -1(-8) 15 + 10x + 24x + 21x + 2[-32 + -4x + (-9 * 2 + 7x * 2) + 1] = 3x + -21 + 6x + -1(-8) 15 + 10x + 24x + 21x + 2[-32 + -4x + (-18 + 14x) + 1] = 3x + -21 + 6x + -1(-8) Reorder the terms: 15 + 10x + 24x + 21x + 2[-32 + -18 + 1 + -4x + 14x] = 3x + -21 + 6x + -1(-8) Combine like terms: -32 + -18 = -50 15 + 10x + 24x + 21x + 2[-50 + 1 + -4x + 14x] = 3x + -21 + 6x + -1(-8) Combine like terms: -50 + 1 = -49 15 + 10x + 24x + 21x + 2[-49 + -4x + 14x] = 3x + -21 + 6x + -1(-8) Combine like terms: -4x + 14x = 10x 15 + 10x + 24x + 21x + 2[-49 + 10x] = 3x + -21 + 6x + -1(-8) 15 + 10x + 24x + 21x + [-49 * 2 + 10x * 2] = 3x + -21 + 6x + -1(-8) 15 + 10x + 24x + 21x + [-98 + 20x] = 3x + -21 + 6x + -1(-8) Reorder the terms: 15 + -98 + 10x + 24x + 21x + 20x = 3x + -21 + 6x + -1(-8) Combine like terms: 15 + -98 = -83 -83 + 10x + 24x + 21x + 20x = 3x + -21 + 6x + -1(-8) Combine like terms: 10x + 24x = 34x -83 + 34x + 21x + 20x = 3x + -21 + 6x + -1(-8) Combine like terms: 34x + 21x = 55x -83 + 55x + 20x = 3x + -21 + 6x + -1(-8) Combine like terms: 55x + 20x = 75x -83 + 75x = 3x + -21 + 6x + -1(-8) Multiply -1 * -8 -83 + 75x = 3x + -21 + 6x + 8 Reorder the terms: -83 + 75x = -21 + 8 + 3x + 6x Combine like terms: -21 + 8 = -13 -83 + 75x = -13 + 3x + 6x Combine like terms: 3x + 6x = 9x -83 + 75x = -13 + 9x Solving -83 + 75x = -13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -83 + 75x + -9x = -13 + 9x + -9x Combine like terms: 75x + -9x = 66x -83 + 66x = -13 + 9x + -9x Combine like terms: 9x + -9x = 0 -83 + 66x = -13 + 0 -83 + 66x = -13 Add '83' to each side of the equation. -83 + 83 + 66x = -13 + 83 Combine like terms: -83 + 83 = 0 0 + 66x = -13 + 83 66x = -13 + 83 Combine like terms: -13 + 83 = 70 66x = 70 Divide each side by '66'. x = 1.060606061 Simplifying x = 1.060606061
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