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Simplifying 12(x + 2) = 10x + 7 Reorder the terms: 12(2 + x) = 10x + 7 (2 * 12 + x * 12) = 10x + 7 (24 + 12x) = 10x + 7 Reorder the terms: 24 + 12x = 7 + 10x Solving 24 + 12x = 7 + 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. 24 + 12x + -10x = 7 + 10x + -10x Combine like terms: 12x + -10x = 2x 24 + 2x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + 2x = 7 + 0 24 + 2x = 7 Add '-24' to each side of the equation. 24 + -24 + 2x = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 7 + -24 2x = 7 + -24 Combine like terms: 7 + -24 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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