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Simplifying -3(x + 1) + 7(3 + -2x) = 18 Reorder the terms: -3(1 + x) + 7(3 + -2x) = 18 (1 * -3 + x * -3) + 7(3 + -2x) = 18 (-3 + -3x) + 7(3 + -2x) = 18 -3 + -3x + (3 * 7 + -2x * 7) = 18 -3 + -3x + (21 + -14x) = 18 Reorder the terms: -3 + 21 + -3x + -14x = 18 Combine like terms: -3 + 21 = 18 18 + -3x + -14x = 18 Combine like terms: -3x + -14x = -17x 18 + -17x = 18 Add '-18' to each side of the equation. 18 + -18 + -17x = 18 + -18 Combine like terms: 18 + -18 = 0 0 + -17x = 18 + -18 -17x = 18 + -18 Combine like terms: 18 + -18 = 0 -17x = 0 Solving -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-17'. x = 0 Simplifying x = 0
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