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Simplifying 12(9 + 2x) = 5(2 + -5x) (9 * 12 + 2x * 12) = 5(2 + -5x) (108 + 24x) = 5(2 + -5x) 108 + 24x = (2 * 5 + -5x * 5) 108 + 24x = (10 + -25x) Solving 108 + 24x = 10 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 108 + 24x + 25x = 10 + -25x + 25x Combine like terms: 24x + 25x = 49x 108 + 49x = 10 + -25x + 25x Combine like terms: -25x + 25x = 0 108 + 49x = 10 + 0 108 + 49x = 10 Add '-108' to each side of the equation. 108 + -108 + 49x = 10 + -108 Combine like terms: 108 + -108 = 0 0 + 49x = 10 + -108 49x = 10 + -108 Combine like terms: 10 + -108 = -98 49x = -98 Divide each side by '49'. x = -2 Simplifying x = -2
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