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Simplifying 2(x + 9) = 3(-1x + 6) Reorder the terms: 2(9 + x) = 3(-1x + 6) (9 * 2 + x * 2) = 3(-1x + 6) (18 + 2x) = 3(-1x + 6) Reorder the terms: 18 + 2x = 3(6 + -1x) 18 + 2x = (6 * 3 + -1x * 3) 18 + 2x = (18 + -3x) Add '-18' to each side of the equation. 18 + -18 + 2x = 18 + -18 + -3x Combine like terms: 18 + -18 = 0 0 + 2x = 18 + -18 + -3x 2x = 18 + -18 + -3x Combine like terms: 18 + -18 = 0 2x = 0 + -3x 2x = -3x Solving 2x = -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. 2x + 3x = -3x + 3x Combine like terms: 2x + 3x = 5x 5x = -3x + 3x Combine like terms: -3x + 3x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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