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Simplifying 2(9 + -1x) = 3(x + 1) (9 * 2 + -1x * 2) = 3(x + 1) (18 + -2x) = 3(x + 1) Reorder the terms: 18 + -2x = 3(1 + x) 18 + -2x = (1 * 3 + x * 3) 18 + -2x = (3 + 3x) Solving 18 + -2x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + -2x + -3x = 3 + 3x + -3x Combine like terms: -2x + -3x = -5x 18 + -5x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -5x = 3 + 0 18 + -5x = 3 Add '-18' to each side of the equation. 18 + -18 + -5x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = 3 + -18 -5x = 3 + -18 Combine like terms: 3 + -18 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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