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Simplifying 9(2x + 8) = 5(2x + 5) Reorder the terms: 9(8 + 2x) = 5(2x + 5) (8 * 9 + 2x * 9) = 5(2x + 5) (72 + 18x) = 5(2x + 5) Reorder the terms: 72 + 18x = 5(5 + 2x) 72 + 18x = (5 * 5 + 2x * 5) 72 + 18x = (25 + 10x) Solving 72 + 18x = 25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 72 + 18x + -10x = 25 + 10x + -10x Combine like terms: 18x + -10x = 8x 72 + 8x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 72 + 8x = 25 + 0 72 + 8x = 25 Add '-72' to each side of the equation. 72 + -72 + 8x = 25 + -72 Combine like terms: 72 + -72 = 0 0 + 8x = 25 + -72 8x = 25 + -72 Combine like terms: 25 + -72 = -47 8x = -47 Divide each side by '8'. x = -5.875 Simplifying x = -5.875
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