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Simplifying 3(8x + 3) = 5(x + 7) Reorder the terms: 3(3 + 8x) = 5(x + 7) (3 * 3 + 8x * 3) = 5(x + 7) (9 + 24x) = 5(x + 7) Reorder the terms: 9 + 24x = 5(7 + x) 9 + 24x = (7 * 5 + x * 5) 9 + 24x = (35 + 5x) Solving 9 + 24x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 24x + -5x = 35 + 5x + -5x Combine like terms: 24x + -5x = 19x 9 + 19x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 19x = 35 + 0 9 + 19x = 35 Add '-9' to each side of the equation. 9 + -9 + 19x = 35 + -9 Combine like terms: 9 + -9 = 0 0 + 19x = 35 + -9 19x = 35 + -9 Combine like terms: 35 + -9 = 26 19x = 26 Divide each side by '19'. x = 1.368421053 Simplifying x = 1.368421053
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