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Simplifying 6(x + 2) + -1(4x + -6) = 0 Reorder the terms: 6(2 + x) + -1(4x + -6) = 0 (2 * 6 + x * 6) + -1(4x + -6) = 0 (12 + 6x) + -1(4x + -6) = 0 Reorder the terms: 12 + 6x + -1(-6 + 4x) = 0 12 + 6x + (-6 * -1 + 4x * -1) = 0 12 + 6x + (6 + -4x) = 0 Reorder the terms: 12 + 6 + 6x + -4x = 0 Combine like terms: 12 + 6 = 18 18 + 6x + -4x = 0 Combine like terms: 6x + -4x = 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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