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Simplifying 2(6x + 6) = -2(10x + -10) Reorder the terms: 2(6 + 6x) = -2(10x + -10) (6 * 2 + 6x * 2) = -2(10x + -10) (12 + 12x) = -2(10x + -10) Reorder the terms: 12 + 12x = -2(-10 + 10x) 12 + 12x = (-10 * -2 + 10x * -2) 12 + 12x = (20 + -20x) Solving 12 + 12x = 20 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 12 + 12x + 20x = 20 + -20x + 20x Combine like terms: 12x + 20x = 32x 12 + 32x = 20 + -20x + 20x Combine like terms: -20x + 20x = 0 12 + 32x = 20 + 0 12 + 32x = 20 Add '-12' to each side of the equation. 12 + -12 + 32x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 32x = 20 + -12 32x = 20 + -12 Combine like terms: 20 + -12 = 8 32x = 8 Divide each side by '32'. x = 0.25 Simplifying x = 0.25
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