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