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Simplifying 5(4 + 2x) = 8(x + 9) (4 * 5 + 2x * 5) = 8(x + 9) (20 + 10x) = 8(x + 9) Reorder the terms: 20 + 10x = 8(9 + x) 20 + 10x = (9 * 8 + x * 8) 20 + 10x = (72 + 8x) Solving 20 + 10x = 72 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + 10x + -8x = 72 + 8x + -8x Combine like terms: 10x + -8x = 2x 20 + 2x = 72 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + 2x = 72 + 0 20 + 2x = 72 Add '-20' to each side of the equation. 20 + -20 + 2x = 72 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 72 + -20 2x = 72 + -20 Combine like terms: 72 + -20 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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