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Simplifying 12(x + -1) = 3(12x + 9) Reorder the terms: 12(-1 + x) = 3(12x + 9) (-1 * 12 + x * 12) = 3(12x + 9) (-12 + 12x) = 3(12x + 9) Reorder the terms: -12 + 12x = 3(9 + 12x) -12 + 12x = (9 * 3 + 12x * 3) -12 + 12x = (27 + 36x) Solving -12 + 12x = 27 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -12 + 12x + -36x = 27 + 36x + -36x Combine like terms: 12x + -36x = -24x -12 + -24x = 27 + 36x + -36x Combine like terms: 36x + -36x = 0 -12 + -24x = 27 + 0 -12 + -24x = 27 Add '12' to each side of the equation. -12 + 12 + -24x = 27 + 12 Combine like terms: -12 + 12 = 0 0 + -24x = 27 + 12 -24x = 27 + 12 Combine like terms: 27 + 12 = 39 -24x = 39 Divide each side by '-24'. x = -1.625 Simplifying x = -1.625
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