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Simplifying 2(x + 7) + -3(2x + -4) = 18 Reorder the terms: 2(7 + x) + -3(2x + -4) = 18 (7 * 2 + x * 2) + -3(2x + -4) = 18 (14 + 2x) + -3(2x + -4) = 18 Reorder the terms: 14 + 2x + -3(-4 + 2x) = 18 14 + 2x + (-4 * -3 + 2x * -3) = 18 14 + 2x + (12 + -6x) = 18 Reorder the terms: 14 + 12 + 2x + -6x = 18 Combine like terms: 14 + 12 = 26 26 + 2x + -6x = 18 Combine like terms: 2x + -6x = -4x 26 + -4x = 18 Solving 26 + -4x = 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 + -4x = 18 + -26 Combine like terms: 26 + -26 = 0 0 + -4x = 18 + -26 -4x = 18 + -26 Combine like terms: 18 + -26 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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