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Simplifying 9(8x + 2) = 6(8x + 5) Reorder the terms: 9(2 + 8x) = 6(8x + 5) (2 * 9 + 8x * 9) = 6(8x + 5) (18 + 72x) = 6(8x + 5) Reorder the terms: 18 + 72x = 6(5 + 8x) 18 + 72x = (5 * 6 + 8x * 6) 18 + 72x = (30 + 48x) Solving 18 + 72x = 30 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 18 + 72x + -48x = 30 + 48x + -48x Combine like terms: 72x + -48x = 24x 18 + 24x = 30 + 48x + -48x Combine like terms: 48x + -48x = 0 18 + 24x = 30 + 0 18 + 24x = 30 Add '-18' to each side of the equation. 18 + -18 + 24x = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 24x = 30 + -18 24x = 30 + -18 Combine like terms: 30 + -18 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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