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Simplifying 12 + -11x = 8 + -1(6 + x) 12 + -11x = 8 + (6 * -1 + x * -1) 12 + -11x = 8 + (-6 + -1x) Combine like terms: 8 + -6 = 2 12 + -11x = 2 + -1x Solving 12 + -11x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + -11x + x = 2 + -1x + x Combine like terms: -11x + x = -10x 12 + -10x = 2 + -1x + x Combine like terms: -1x + x = 0 12 + -10x = 2 + 0 12 + -10x = 2 Add '-12' to each side of the equation. 12 + -12 + -10x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 2 + -12 -10x = 2 + -12 Combine like terms: 2 + -12 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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