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Simplifying -2(-1x + -5) = 3(-1x + 15) Reorder the terms: -2(-5 + -1x) = 3(-1x + 15) (-5 * -2 + -1x * -2) = 3(-1x + 15) (10 + 2x) = 3(-1x + 15) Reorder the terms: 10 + 2x = 3(15 + -1x) 10 + 2x = (15 * 3 + -1x * 3) 10 + 2x = (45 + -3x) Solving 10 + 2x = 45 + -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. 10 + 2x + 3x = 45 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = 45 + 0 10 + 5x = 45 Add '-10' to each side of the equation. 10 + -10 + 5x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 45 + -10 5x = 45 + -10 Combine like terms: 45 + -10 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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