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Simplifying -5(2x + -2) = -2(3 + 6x) Reorder the terms: -5(-2 + 2x) = -2(3 + 6x) (-2 * -5 + 2x * -5) = -2(3 + 6x) (10 + -10x) = -2(3 + 6x) 10 + -10x = (3 * -2 + 6x * -2) 10 + -10x = (-6 + -12x) Solving 10 + -10x = -6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + -10x + 12x = -6 + -12x + 12x Combine like terms: -10x + 12x = 2x 10 + 2x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 2x = -6 + 0 10 + 2x = -6 Add '-10' to each side of the equation. 10 + -10 + 2x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -6 + -10 2x = -6 + -10 Combine like terms: -6 + -10 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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