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