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Simplifying 3(12x + 12) = 10(5x + 12) Reorder the terms: 3(12 + 12x) = 10(5x + 12) (12 * 3 + 12x * 3) = 10(5x + 12) (36 + 36x) = 10(5x + 12) Reorder the terms: 36 + 36x = 10(12 + 5x) 36 + 36x = (12 * 10 + 5x * 10) 36 + 36x = (120 + 50x) Solving 36 + 36x = 120 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 36 + 36x + -50x = 120 + 50x + -50x Combine like terms: 36x + -50x = -14x 36 + -14x = 120 + 50x + -50x Combine like terms: 50x + -50x = 0 36 + -14x = 120 + 0 36 + -14x = 120 Add '-36' to each side of the equation. 36 + -36 + -14x = 120 + -36 Combine like terms: 36 + -36 = 0 0 + -14x = 120 + -36 -14x = 120 + -36 Combine like terms: 120 + -36 = 84 -14x = 84 Divide each side by '-14'. x = -6 Simplifying x = -6
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