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Simplifying 3(x + -6) + 12(x + 15) = 0 Reorder the terms: 3(-6 + x) + 12(x + 15) = 0 (-6 * 3 + x * 3) + 12(x + 15) = 0 (-18 + 3x) + 12(x + 15) = 0 Reorder the terms: -18 + 3x + 12(15 + x) = 0 -18 + 3x + (15 * 12 + x * 12) = 0 -18 + 3x + (180 + 12x) = 0 Reorder the terms: -18 + 180 + 3x + 12x = 0 Combine like terms: -18 + 180 = 162 162 + 3x + 12x = 0 Combine like terms: 3x + 12x = 15x 162 + 15x = 0 Solving 162 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-162' to each side of the equation. 162 + -162 + 15x = 0 + -162 Combine like terms: 162 + -162 = 0 0 + 15x = 0 + -162 15x = 0 + -162 Combine like terms: 0 + -162 = -162 15x = -162 Divide each side by '15'. x = -10.8 Simplifying x = -10.8
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