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Simplifying 3(2x + 2) + -4(x + -5) = 18 Reorder the terms: 3(2 + 2x) + -4(x + -5) = 18 (2 * 3 + 2x * 3) + -4(x + -5) = 18 (6 + 6x) + -4(x + -5) = 18 Reorder the terms: 6 + 6x + -4(-5 + x) = 18 6 + 6x + (-5 * -4 + x * -4) = 18 6 + 6x + (20 + -4x) = 18 Reorder the terms: 6 + 20 + 6x + -4x = 18 Combine like terms: 6 + 20 = 26 26 + 6x + -4x = 18 Combine like terms: 6x + -4x = 2x 26 + 2x = 18 Solving 26 + 2x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 2x = 18 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 18 + -26 2x = 18 + -26 Combine like terms: 18 + -26 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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