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Simplifying -1(x + -5) + 2 = 3(4 + -1x) + 5x Reorder the terms: -1(-5 + x) + 2 = 3(4 + -1x) + 5x (-5 * -1 + x * -1) + 2 = 3(4 + -1x) + 5x (5 + -1x) + 2 = 3(4 + -1x) + 5x Reorder the terms: 5 + 2 + -1x = 3(4 + -1x) + 5x Combine like terms: 5 + 2 = 7 7 + -1x = 3(4 + -1x) + 5x 7 + -1x = (4 * 3 + -1x * 3) + 5x 7 + -1x = (12 + -3x) + 5x Combine like terms: -3x + 5x = 2x 7 + -1x = 12 + 2x Solving 7 + -1x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -1x + -2x = 12 + 2x + -2x Combine like terms: -1x + -2x = -3x 7 + -3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -3x = 12 + 0 7 + -3x = 12 Add '-7' to each side of the equation. 7 + -7 + -3x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 12 + -7 -3x = 12 + -7 Combine like terms: 12 + -7 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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