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Simplifying 6(2 + -2x) = 5(2x + -2) (2 * 6 + -2x * 6) = 5(2x + -2) (12 + -12x) = 5(2x + -2) Reorder the terms: 12 + -12x = 5(-2 + 2x) 12 + -12x = (-2 * 5 + 2x * 5) 12 + -12x = (-10 + 10x) Solving 12 + -12x = -10 + 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. 12 + -12x + -10x = -10 + 10x + -10x Combine like terms: -12x + -10x = -22x 12 + -22x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -22x = -10 + 0 12 + -22x = -10 Add '-12' to each side of the equation. 12 + -12 + -22x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -22x = -10 + -12 -22x = -10 + -12 Combine like terms: -10 + -12 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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