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Simplifying 2(x + -2) + -3(x + -3) = (x + -5) Reorder the terms: 2(-2 + x) + -3(x + -3) = (x + -5) (-2 * 2 + x * 2) + -3(x + -3) = (x + -5) (-4 + 2x) + -3(x + -3) = (x + -5) Reorder the terms: -4 + 2x + -3(-3 + x) = (x + -5) -4 + 2x + (-3 * -3 + x * -3) = (x + -5) -4 + 2x + (9 + -3x) = (x + -5) Reorder the terms: -4 + 9 + 2x + -3x = (x + -5) Combine like terms: -4 + 9 = 5 5 + 2x + -3x = (x + -5) Combine like terms: 2x + -3x = -1x 5 + -1x = (x + -5) Reorder the terms: 5 + -1x = (-5 + x) Remove parenthesis around (-5 + x) 5 + -1x = -5 + x Solving 5 + -1x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -1x + -1x = -5 + x + -1x Combine like terms: -1x + -1x = -2x 5 + -2x = -5 + x + -1x Combine like terms: x + -1x = 0 5 + -2x = -5 + 0 5 + -2x = -5 Add '-5' to each side of the equation. 5 + -5 + -2x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -5 + -5 -2x = -5 + -5 Combine like terms: -5 + -5 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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