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Simplifying 7(4x + 1) = 5(4x + 3) Reorder the terms: 7(1 + 4x) = 5(4x + 3) (1 * 7 + 4x * 7) = 5(4x + 3) (7 + 28x) = 5(4x + 3) Reorder the terms: 7 + 28x = 5(3 + 4x) 7 + 28x = (3 * 5 + 4x * 5) 7 + 28x = (15 + 20x) Solving 7 + 28x = 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. 7 + 28x + -20x = 15 + 20x + -20x Combine like terms: 28x + -20x = 8x 7 + 8x = 15 + 20x + -20x Combine like terms: 20x + -20x = 0 7 + 8x = 15 + 0 7 + 8x = 15 Add '-7' to each side of the equation. 7 + -7 + 8x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 15 + -7 8x = 15 + -7 Combine like terms: 15 + -7 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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