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Simplifying 2(9 + -8x + -2x) + 2(9x + 3) = 8 Combine like terms: -8x + -2x = -10x 2(9 + -10x) + 2(9x + 3) = 8 (9 * 2 + -10x * 2) + 2(9x + 3) = 8 (18 + -20x) + 2(9x + 3) = 8 Reorder the terms: 18 + -20x + 2(3 + 9x) = 8 18 + -20x + (3 * 2 + 9x * 2) = 8 18 + -20x + (6 + 18x) = 8 Reorder the terms: 18 + 6 + -20x + 18x = 8 Combine like terms: 18 + 6 = 24 24 + -20x + 18x = 8 Combine like terms: -20x + 18x = -2x 24 + -2x = 8 Solving 24 + -2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -2x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 8 + -24 -2x = 8 + -24 Combine like terms: 8 + -24 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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