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Simplifying 6(x + 3) + -1(4x + -6) = 0 Reorder the terms: 6(3 + x) + -1(4x + -6) = 0 (3 * 6 + x * 6) + -1(4x + -6) = 0 (18 + 6x) + -1(4x + -6) = 0 Reorder the terms: 18 + 6x + -1(-6 + 4x) = 0 18 + 6x + (-6 * -1 + 4x * -1) = 0 18 + 6x + (6 + -4x) = 0 Reorder the terms: 18 + 6 + 6x + -4x = 0 Combine like terms: 18 + 6 = 24 24 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 24 + 2x = 0 Solving 24 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 0 + -24 2x = 0 + -24 Combine like terms: 0 + -24 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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