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Simplifying 3(x + -1) + 12(x + 9) = 0 Reorder the terms: 3(-1 + x) + 12(x + 9) = 0 (-1 * 3 + x * 3) + 12(x + 9) = 0 (-3 + 3x) + 12(x + 9) = 0 Reorder the terms: -3 + 3x + 12(9 + x) = 0 -3 + 3x + (9 * 12 + x * 12) = 0 -3 + 3x + (108 + 12x) = 0 Reorder the terms: -3 + 108 + 3x + 12x = 0 Combine like terms: -3 + 108 = 105 105 + 3x + 12x = 0 Combine like terms: 3x + 12x = 15x 105 + 15x = 0 Solving 105 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + 15x = 0 + -105 Combine like terms: 105 + -105 = 0 0 + 15x = 0 + -105 15x = 0 + -105 Combine like terms: 0 + -105 = -105 15x = -105 Divide each side by '15'. x = -7 Simplifying x = -7
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