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Simplifying 3(x + 6) + -2(x + -6) = 6 Reorder the terms: 3(6 + x) + -2(x + -6) = 6 (6 * 3 + x * 3) + -2(x + -6) = 6 (18 + 3x) + -2(x + -6) = 6 Reorder the terms: 18 + 3x + -2(-6 + x) = 6 18 + 3x + (-6 * -2 + x * -2) = 6 18 + 3x + (12 + -2x) = 6 Reorder the terms: 18 + 12 + 3x + -2x = 6 Combine like terms: 18 + 12 = 30 30 + 3x + -2x = 6 Combine like terms: 3x + -2x = 1x 30 + 1x = 6 Solving 30 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 6 + -30 1x = 6 + -30 Combine like terms: 6 + -30 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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