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Simplifying 12 + -8x = 2(5 + -5x) 12 + -8x = (5 * 2 + -5x * 2) 12 + -8x = (10 + -10x) Solving 12 + -8x = 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 + -8x + 10x = 10 + -10x + 10x Combine like terms: -8x + 10x = 2x 12 + 2x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 2x = 10 + 0 12 + 2x = 10 Add '-12' to each side of the equation. 12 + -12 + 2x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 10 + -12 2x = 10 + -12 Combine like terms: 10 + -12 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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