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Simplifying 2(x + -9) = 3(x + -5) Reorder the terms: 2(-9 + x) = 3(x + -5) (-9 * 2 + x * 2) = 3(x + -5) (-18 + 2x) = 3(x + -5) Reorder the terms: -18 + 2x = 3(-5 + x) -18 + 2x = (-5 * 3 + x * 3) -18 + 2x = (-15 + 3x) Solving -18 + 2x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 2x + -3x = -15 + 3x + -3x Combine like terms: 2x + -3x = -1x -18 + -1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -1x = -15 + 0 -18 + -1x = -15 Add '18' to each side of the equation. -18 + 18 + -1x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -15 + 18 -1x = -15 + 18 Combine like terms: -15 + 18 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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