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Simplifying 12 * 6(x + -1) = 4 * 3(x + 9) Reorder the terms: 12 * 6(-1 + x) = 4 * 3(x + 9) Multiply 12 * 6 72(-1 + x) = 4 * 3(x + 9) (-1 * 72 + x * 72) = 4 * 3(x + 9) (-72 + 72x) = 4 * 3(x + 9) Reorder the terms: -72 + 72x = 4 * 3(9 + x) Multiply 4 * 3 -72 + 72x = 12(9 + x) -72 + 72x = (9 * 12 + x * 12) -72 + 72x = (108 + 12x) Solving -72 + 72x = 108 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -72 + 72x + -12x = 108 + 12x + -12x Combine like terms: 72x + -12x = 60x -72 + 60x = 108 + 12x + -12x Combine like terms: 12x + -12x = 0 -72 + 60x = 108 + 0 -72 + 60x = 108 Add '72' to each side of the equation. -72 + 72 + 60x = 108 + 72 Combine like terms: -72 + 72 = 0 0 + 60x = 108 + 72 60x = 108 + 72 Combine like terms: 108 + 72 = 180 60x = 180 Divide each side by '60'. x = 3 Simplifying x = 3
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