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Simplifying 8(3x + 4) = 5(x + 4) + 17 Reorder the terms: 8(4 + 3x) = 5(x + 4) + 17 (4 * 8 + 3x * 8) = 5(x + 4) + 17 (32 + 24x) = 5(x + 4) + 17 Reorder the terms: 32 + 24x = 5(4 + x) + 17 32 + 24x = (4 * 5 + x * 5) + 17 32 + 24x = (20 + 5x) + 17 Reorder the terms: 32 + 24x = 20 + 17 + 5x Combine like terms: 20 + 17 = 37 32 + 24x = 37 + 5x Solving 32 + 24x = 37 + 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. 32 + 24x + -5x = 37 + 5x + -5x Combine like terms: 24x + -5x = 19x 32 + 19x = 37 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + 19x = 37 + 0 32 + 19x = 37 Add '-32' to each side of the equation. 32 + -32 + 19x = 37 + -32 Combine like terms: 32 + -32 = 0 0 + 19x = 37 + -32 19x = 37 + -32 Combine like terms: 37 + -32 = 5 19x = 5 Divide each side by '19'. x = 0.2631578947 Simplifying x = 0.2631578947
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