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Simplifying 5(8x + 9) = 24x + 61 Reorder the terms: 5(9 + 8x) = 24x + 61 (9 * 5 + 8x * 5) = 24x + 61 (45 + 40x) = 24x + 61 Reorder the terms: 45 + 40x = 61 + 24x Solving 45 + 40x = 61 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 45 + 40x + -24x = 61 + 24x + -24x Combine like terms: 40x + -24x = 16x 45 + 16x = 61 + 24x + -24x Combine like terms: 24x + -24x = 0 45 + 16x = 61 + 0 45 + 16x = 61 Add '-45' to each side of the equation. 45 + -45 + 16x = 61 + -45 Combine like terms: 45 + -45 = 0 0 + 16x = 61 + -45 16x = 61 + -45 Combine like terms: 61 + -45 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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