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Simplifying -1(5x + 13) + -18 = -2(-1x + 7) + -3x Reorder the terms: -1(13 + 5x) + -18 = -2(-1x + 7) + -3x (13 * -1 + 5x * -1) + -18 = -2(-1x + 7) + -3x (-13 + -5x) + -18 = -2(-1x + 7) + -3x Reorder the terms: -13 + -18 + -5x = -2(-1x + 7) + -3x Combine like terms: -13 + -18 = -31 -31 + -5x = -2(-1x + 7) + -3x Reorder the terms: -31 + -5x = -2(7 + -1x) + -3x -31 + -5x = (7 * -2 + -1x * -2) + -3x -31 + -5x = (-14 + 2x) + -3x Combine like terms: 2x + -3x = -1x -31 + -5x = -14 + -1x Solving -31 + -5x = -14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -31 + -5x + x = -14 + -1x + x Combine like terms: -5x + x = -4x -31 + -4x = -14 + -1x + x Combine like terms: -1x + x = 0 -31 + -4x = -14 + 0 -31 + -4x = -14 Add '31' to each side of the equation. -31 + 31 + -4x = -14 + 31 Combine like terms: -31 + 31 = 0 0 + -4x = -14 + 31 -4x = -14 + 31 Combine like terms: -14 + 31 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25
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