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Simplifying 4(7x + 8) = 5(-5x + 4) Reorder the terms: 4(8 + 7x) = 5(-5x + 4) (8 * 4 + 7x * 4) = 5(-5x + 4) (32 + 28x) = 5(-5x + 4) Reorder the terms: 32 + 28x = 5(4 + -5x) 32 + 28x = (4 * 5 + -5x * 5) 32 + 28x = (20 + -25x) Solving 32 + 28x = 20 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 32 + 28x + 25x = 20 + -25x + 25x Combine like terms: 28x + 25x = 53x 32 + 53x = 20 + -25x + 25x Combine like terms: -25x + 25x = 0 32 + 53x = 20 + 0 32 + 53x = 20 Add '-32' to each side of the equation. 32 + -32 + 53x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 53x = 20 + -32 53x = 20 + -32 Combine like terms: 20 + -32 = -12 53x = -12 Divide each side by '53'. x = -0.2264150943 Simplifying x = -0.2264150943
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