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Simplifying (3x + 1) + 8(2x + -3) = 4(3x + -1) + -7(x + -4) Reorder the terms: (1 + 3x) + 8(2x + -3) = 4(3x + -1) + -7(x + -4) Remove parenthesis around (1 + 3x) 1 + 3x + 8(2x + -3) = 4(3x + -1) + -7(x + -4) Reorder the terms: 1 + 3x + 8(-3 + 2x) = 4(3x + -1) + -7(x + -4) 1 + 3x + (-3 * 8 + 2x * 8) = 4(3x + -1) + -7(x + -4) 1 + 3x + (-24 + 16x) = 4(3x + -1) + -7(x + -4) Reorder the terms: 1 + -24 + 3x + 16x = 4(3x + -1) + -7(x + -4) Combine like terms: 1 + -24 = -23 -23 + 3x + 16x = 4(3x + -1) + -7(x + -4) Combine like terms: 3x + 16x = 19x -23 + 19x = 4(3x + -1) + -7(x + -4) Reorder the terms: -23 + 19x = 4(-1 + 3x) + -7(x + -4) -23 + 19x = (-1 * 4 + 3x * 4) + -7(x + -4) -23 + 19x = (-4 + 12x) + -7(x + -4) Reorder the terms: -23 + 19x = -4 + 12x + -7(-4 + x) -23 + 19x = -4 + 12x + (-4 * -7 + x * -7) -23 + 19x = -4 + 12x + (28 + -7x) Reorder the terms: -23 + 19x = -4 + 28 + 12x + -7x Combine like terms: -4 + 28 = 24 -23 + 19x = 24 + 12x + -7x Combine like terms: 12x + -7x = 5x -23 + 19x = 24 + 5x Solving -23 + 19x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -23 + 19x + -5x = 24 + 5x + -5x Combine like terms: 19x + -5x = 14x -23 + 14x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -23 + 14x = 24 + 0 -23 + 14x = 24 Add '23' to each side of the equation. -23 + 23 + 14x = 24 + 23 Combine like terms: -23 + 23 = 0 0 + 14x = 24 + 23 14x = 24 + 23 Combine like terms: 24 + 23 = 47 14x = 47 Divide each side by '14'. x = 3.357142857 Simplifying x = 3.357142857
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