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Simplifying 9(2x + 8) = 9(7x + 5) Reorder the terms: 9(8 + 2x) = 9(7x + 5) (8 * 9 + 2x * 9) = 9(7x + 5) (72 + 18x) = 9(7x + 5) Reorder the terms: 72 + 18x = 9(5 + 7x) 72 + 18x = (5 * 9 + 7x * 9) 72 + 18x = (45 + 63x) Solving 72 + 18x = 45 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. 72 + 18x + -63x = 45 + 63x + -63x Combine like terms: 18x + -63x = -45x 72 + -45x = 45 + 63x + -63x Combine like terms: 63x + -63x = 0 72 + -45x = 45 + 0 72 + -45x = 45 Add '-72' to each side of the equation. 72 + -72 + -45x = 45 + -72 Combine like terms: 72 + -72 = 0 0 + -45x = 45 + -72 -45x = 45 + -72 Combine like terms: 45 + -72 = -27 -45x = -27 Divide each side by '-45'. x = 0.6 Simplifying x = 0.6
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