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Simplifying 12(x + -1) = 3(x + 5) Reorder the terms: 12(-1 + x) = 3(x + 5) (-1 * 12 + x * 12) = 3(x + 5) (-12 + 12x) = 3(x + 5) Reorder the terms: -12 + 12x = 3(5 + x) -12 + 12x = (5 * 3 + x * 3) -12 + 12x = (15 + 3x) Solving -12 + 12x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 12x + -3x = 15 + 3x + -3x Combine like terms: 12x + -3x = 9x -12 + 9x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 9x = 15 + 0 -12 + 9x = 15 Add '12' to each side of the equation. -12 + 12 + 9x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 15 + 12 9x = 15 + 12 Combine like terms: 15 + 12 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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