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Simplifying 2(2x + 3) + -2(x + -9) = 18 Reorder the terms: 2(3 + 2x) + -2(x + -9) = 18 (3 * 2 + 2x * 2) + -2(x + -9) = 18 (6 + 4x) + -2(x + -9) = 18 Reorder the terms: 6 + 4x + -2(-9 + x) = 18 6 + 4x + (-9 * -2 + x * -2) = 18 6 + 4x + (18 + -2x) = 18 Reorder the terms: 6 + 18 + 4x + -2x = 18 Combine like terms: 6 + 18 = 24 24 + 4x + -2x = 18 Combine like terms: 4x + -2x = 2x 24 + 2x = 18 Solving 24 + 2x = 18 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 = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 18 + -24 2x = 18 + -24 Combine like terms: 18 + -24 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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