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Simplifying 12(5x + -12) = -9(1 + -5x) Reorder the terms: 12(-12 + 5x) = -9(1 + -5x) (-12 * 12 + 5x * 12) = -9(1 + -5x) (-144 + 60x) = -9(1 + -5x) -144 + 60x = (1 * -9 + -5x * -9) -144 + 60x = (-9 + 45x) Solving -144 + 60x = -9 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -144 + 60x + -45x = -9 + 45x + -45x Combine like terms: 60x + -45x = 15x -144 + 15x = -9 + 45x + -45x Combine like terms: 45x + -45x = 0 -144 + 15x = -9 + 0 -144 + 15x = -9 Add '144' to each side of the equation. -144 + 144 + 15x = -9 + 144 Combine like terms: -144 + 144 = 0 0 + 15x = -9 + 144 15x = -9 + 144 Combine like terms: -9 + 144 = 135 15x = 135 Divide each side by '15'. x = 9 Simplifying x = 9
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