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Simplifying 3(8x + 1) = 5(4x + 3) Reorder the terms: 3(1 + 8x) = 5(4x + 3) (1 * 3 + 8x * 3) = 5(4x + 3) (3 + 24x) = 5(4x + 3) Reorder the terms: 3 + 24x = 5(3 + 4x) 3 + 24x = (3 * 5 + 4x * 5) 3 + 24x = (15 + 20x) Solving 3 + 24x = 15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 3 + 24x + -20x = 15 + 20x + -20x Combine like terms: 24x + -20x = 4x 3 + 4x = 15 + 20x + -20x Combine like terms: 20x + -20x = 0 3 + 4x = 15 + 0 3 + 4x = 15 Add '-3' to each side of the equation. 3 + -3 + 4x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 15 + -3 4x = 15 + -3 Combine like terms: 15 + -3 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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