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Simplifying 6(x + 2) + -1(3x + -6) = 0 Reorder the terms: 6(2 + x) + -1(3x + -6) = 0 (2 * 6 + x * 6) + -1(3x + -6) = 0 (12 + 6x) + -1(3x + -6) = 0 Reorder the terms: 12 + 6x + -1(-6 + 3x) = 0 12 + 6x + (-6 * -1 + 3x * -1) = 0 12 + 6x + (6 + -3x) = 0 Reorder the terms: 12 + 6 + 6x + -3x = 0 Combine like terms: 12 + 6 = 18 18 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x 18 + 3x = 0 Solving 18 + 3x = 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 + 3x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 0 + -18 3x = 0 + -18 Combine like terms: 0 + -18 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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