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Simplifying 12(3x + 12) = 5(5x + 3) Reorder the terms: 12(12 + 3x) = 5(5x + 3) (12 * 12 + 3x * 12) = 5(5x + 3) (144 + 36x) = 5(5x + 3) Reorder the terms: 144 + 36x = 5(3 + 5x) 144 + 36x = (3 * 5 + 5x * 5) 144 + 36x = (15 + 25x) Solving 144 + 36x = 15 + 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. 144 + 36x + -25x = 15 + 25x + -25x Combine like terms: 36x + -25x = 11x 144 + 11x = 15 + 25x + -25x Combine like terms: 25x + -25x = 0 144 + 11x = 15 + 0 144 + 11x = 15 Add '-144' to each side of the equation. 144 + -144 + 11x = 15 + -144 Combine like terms: 144 + -144 = 0 0 + 11x = 15 + -144 11x = 15 + -144 Combine like terms: 15 + -144 = -129 11x = -129 Divide each side by '11'. x = -11.72727273 Simplifying x = -11.72727273
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