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Simplifying 4x + 2x + -7x + 5 + -3x + -2(7x) + 13(2x + -4) + -15 + 1 = 13 + 7(3x + -4) + -1 + 12 Remove parenthesis around (7x) 4x + 2x + -7x + 5 + -3x + -2 * 7x + 13(2x + -4) + -15 + 1 = 13 + 7(3x + -4) + -1 + 12 Multiply -2 * 7 4x + 2x + -7x + 5 + -3x + -14x + 13(2x + -4) + -15 + 1 = 13 + 7(3x + -4) + -1 + 12 Reorder the terms: 4x + 2x + -7x + 5 + -3x + -14x + 13(-4 + 2x) + -15 + 1 = 13 + 7(3x + -4) + -1 + 12 4x + 2x + -7x + 5 + -3x + -14x + (-4 * 13 + 2x * 13) + -15 + 1 = 13 + 7(3x + -4) + -1 + 12 4x + 2x + -7x + 5 + -3x + -14x + (-52 + 26x) + -15 + 1 = 13 + 7(3x + -4) + -1 + 12 Reorder the terms: 5 + -52 + -15 + 1 + 4x + 2x + -7x + -3x + -14x + 26x = 13 + 7(3x + -4) + -1 + 12 Combine like terms: 5 + -52 = -47 -47 + -15 + 1 + 4x + 2x + -7x + -3x + -14x + 26x = 13 + 7(3x + -4) + -1 + 12 Combine like terms: -47 + -15 = -62 -62 + 1 + 4x + 2x + -7x + -3x + -14x + 26x = 13 + 7(3x + -4) + -1 + 12 Combine like terms: -62 + 1 = -61 -61 + 4x + 2x + -7x + -3x + -14x + 26x = 13 + 7(3x + -4) + -1 + 12 Combine like terms: 4x + 2x = 6x -61 + 6x + -7x + -3x + -14x + 26x = 13 + 7(3x + -4) + -1 + 12 Combine like terms: 6x + -7x = -1x -61 + -1x + -3x + -14x + 26x = 13 + 7(3x + -4) + -1 + 12 Combine like terms: -1x + -3x = -4x -61 + -4x + -14x + 26x = 13 + 7(3x + -4) + -1 + 12 Combine like terms: -4x + -14x = -18x -61 + -18x + 26x = 13 + 7(3x + -4) + -1 + 12 Combine like terms: -18x + 26x = 8x -61 + 8x = 13 + 7(3x + -4) + -1 + 12 Reorder the terms: -61 + 8x = 13 + 7(-4 + 3x) + -1 + 12 -61 + 8x = 13 + (-4 * 7 + 3x * 7) + -1 + 12 -61 + 8x = 13 + (-28 + 21x) + -1 + 12 Reorder the terms: -61 + 8x = 13 + -28 + -1 + 12 + 21x Combine like terms: 13 + -28 = -15 -61 + 8x = -15 + -1 + 12 + 21x Combine like terms: -15 + -1 = -16 -61 + 8x = -16 + 12 + 21x Combine like terms: -16 + 12 = -4 -61 + 8x = -4 + 21x Solving -61 + 8x = -4 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -61 + 8x + -21x = -4 + 21x + -21x Combine like terms: 8x + -21x = -13x -61 + -13x = -4 + 21x + -21x Combine like terms: 21x + -21x = 0 -61 + -13x = -4 + 0 -61 + -13x = -4 Add '61' to each side of the equation. -61 + 61 + -13x = -4 + 61 Combine like terms: -61 + 61 = 0 0 + -13x = -4 + 61 -13x = -4 + 61 Combine like terms: -4 + 61 = 57 -13x = 57 Divide each side by '-13'. x = -4.384615385 Simplifying x = -4.384615385
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