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Simplifying 2(x + -2) + -3(x + -3) = 5(x + -5) Reorder the terms: 2(-2 + x) + -3(x + -3) = 5(x + -5) (-2 * 2 + x * 2) + -3(x + -3) = 5(x + -5) (-4 + 2x) + -3(x + -3) = 5(x + -5) Reorder the terms: -4 + 2x + -3(-3 + x) = 5(x + -5) -4 + 2x + (-3 * -3 + x * -3) = 5(x + -5) -4 + 2x + (9 + -3x) = 5(x + -5) Reorder the terms: -4 + 9 + 2x + -3x = 5(x + -5) Combine like terms: -4 + 9 = 5 5 + 2x + -3x = 5(x + -5) Combine like terms: 2x + -3x = -1x 5 + -1x = 5(x + -5) Reorder the terms: 5 + -1x = 5(-5 + x) 5 + -1x = (-5 * 5 + x * 5) 5 + -1x = (-25 + 5x) Solving 5 + -1x = -25 + 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. 5 + -1x + -5x = -25 + 5x + -5x Combine like terms: -1x + -5x = -6x 5 + -6x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -6x = -25 + 0 5 + -6x = -25 Add '-5' to each side of the equation. 5 + -5 + -6x = -25 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -25 + -5 -6x = -25 + -5 Combine like terms: -25 + -5 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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