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Simplifying -2(-1x + -5) = 5(-2x + -10) Reorder the terms: -2(-5 + -1x) = 5(-2x + -10) (-5 * -2 + -1x * -2) = 5(-2x + -10) (10 + 2x) = 5(-2x + -10) Reorder the terms: 10 + 2x = 5(-10 + -2x) 10 + 2x = (-10 * 5 + -2x * 5) 10 + 2x = (-50 + -10x) Solving 10 + 2x = -50 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 10 + 2x + 10x = -50 + -10x + 10x Combine like terms: 2x + 10x = 12x 10 + 12x = -50 + -10x + 10x Combine like terms: -10x + 10x = 0 10 + 12x = -50 + 0 10 + 12x = -50 Add '-10' to each side of the equation. 10 + -10 + 12x = -50 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = -50 + -10 12x = -50 + -10 Combine like terms: -50 + -10 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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