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Simplifying 2(x + 9) = 3(-1x + 8) Reorder the terms: 2(9 + x) = 3(-1x + 8) (9 * 2 + x * 2) = 3(-1x + 8) (18 + 2x) = 3(-1x + 8) Reorder the terms: 18 + 2x = 3(8 + -1x) 18 + 2x = (8 * 3 + -1x * 3) 18 + 2x = (24 + -3x) Solving 18 + 2x = 24 + -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 = 24 + -3x + 3x Combine like terms: 2x + 3x = 5x 18 + 5x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + 5x = 24 + 0 18 + 5x = 24 Add '-18' to each side of the equation. 18 + -18 + 5x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 24 + -18 5x = 24 + -18 Combine like terms: 24 + -18 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2
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