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Simplifying 2(x + 9) = 5x + -6 Reorder the terms: 2(9 + x) = 5x + -6 (9 * 2 + x * 2) = 5x + -6 (18 + 2x) = 5x + -6 Reorder the terms: 18 + 2x = -6 + 5x Solving 18 + 2x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 2x + -5x = -6 + 5x + -5x Combine like terms: 2x + -5x = -3x 18 + -3x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -3x = -6 + 0 18 + -3x = -6 Add '-18' to each side of the equation. 18 + -18 + -3x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = -6 + -18 -3x = -6 + -18 Combine like terms: -6 + -18 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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