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Simplifying (3x + 12) + -1(5x + -6) = 0 Reorder the terms: (12 + 3x) + -1(5x + -6) = 0 Remove parenthesis around (12 + 3x) 12 + 3x + -1(5x + -6) = 0 Reorder the terms: 12 + 3x + -1(-6 + 5x) = 0 12 + 3x + (-6 * -1 + 5x * -1) = 0 12 + 3x + (6 + -5x) = 0 Reorder the terms: 12 + 6 + 3x + -5x = 0 Combine like terms: 12 + 6 = 18 18 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 18 + -2x = 0 Solving 18 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -2x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 0 + -18 -2x = 0 + -18 Combine like terms: 0 + -18 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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