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Simplifying 12 + 6(10 + -7x) = 10 + -11x 12 + (10 * 6 + -7x * 6) = 10 + -11x 12 + (60 + -42x) = 10 + -11x Combine like terms: 12 + 60 = 72 72 + -42x = 10 + -11x Solving 72 + -42x = 10 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 72 + -42x + 11x = 10 + -11x + 11x Combine like terms: -42x + 11x = -31x 72 + -31x = 10 + -11x + 11x Combine like terms: -11x + 11x = 0 72 + -31x = 10 + 0 72 + -31x = 10 Add '-72' to each side of the equation. 72 + -72 + -31x = 10 + -72 Combine like terms: 72 + -72 = 0 0 + -31x = 10 + -72 -31x = 10 + -72 Combine like terms: 10 + -72 = -62 -31x = -62 Divide each side by '-31'. x = 2 Simplifying x = 2
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