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Simplifying 5(1 + 4x) = 8(5x + 4) + 7x (1 * 5 + 4x * 5) = 8(5x + 4) + 7x (5 + 20x) = 8(5x + 4) + 7x Reorder the terms: 5 + 20x = 8(4 + 5x) + 7x 5 + 20x = (4 * 8 + 5x * 8) + 7x 5 + 20x = (32 + 40x) + 7x Combine like terms: 40x + 7x = 47x 5 + 20x = 32 + 47x Solving 5 + 20x = 32 + 47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47x' to each side of the equation. 5 + 20x + -47x = 32 + 47x + -47x Combine like terms: 20x + -47x = -27x 5 + -27x = 32 + 47x + -47x Combine like terms: 47x + -47x = 0 5 + -27x = 32 + 0 5 + -27x = 32 Add '-5' to each side of the equation. 5 + -5 + -27x = 32 + -5 Combine like terms: 5 + -5 = 0 0 + -27x = 32 + -5 -27x = 32 + -5 Combine like terms: 32 + -5 = 27 -27x = 27 Divide each side by '-27'. x = -1 Simplifying x = -1
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