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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 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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