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Simplifying 4(7x + -8) = 5(2x + 5) Reorder the terms: 4(-8 + 7x) = 5(2x + 5) (-8 * 4 + 7x * 4) = 5(2x + 5) (-32 + 28x) = 5(2x + 5) Reorder the terms: -32 + 28x = 5(5 + 2x) -32 + 28x = (5 * 5 + 2x * 5) -32 + 28x = (25 + 10x) Solving -32 + 28x = 25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -32 + 28x + -10x = 25 + 10x + -10x Combine like terms: 28x + -10x = 18x -32 + 18x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 + 18x = 25 + 0 -32 + 18x = 25 Add '32' to each side of the equation. -32 + 32 + 18x = 25 + 32 Combine like terms: -32 + 32 = 0 0 + 18x = 25 + 32 18x = 25 + 32 Combine like terms: 25 + 32 = 57 18x = 57 Divide each side by '18'. x = 3.166666667 Simplifying x = 3.166666667
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