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Simplifying -2(-5x + -5) = 3(3x + 2) Reorder the terms: -2(-5 + -5x) = 3(3x + 2) (-5 * -2 + -5x * -2) = 3(3x + 2) (10 + 10x) = 3(3x + 2) Reorder the terms: 10 + 10x = 3(2 + 3x) 10 + 10x = (2 * 3 + 3x * 3) 10 + 10x = (6 + 9x) Solving 10 + 10x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 10x + -9x = 6 + 9x + -9x Combine like terms: 10x + -9x = 1x 10 + 1x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 1x = 6 + 0 10 + 1x = 6 Add '-10' to each side of the equation. 10 + -10 + 1x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 6 + -10 1x = 6 + -10 Combine like terms: 6 + -10 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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