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Simplifying 4(-8 + x) = 5x + 0.5 (-8 * 4 + x * 4) = 5x + 0.5 (-32 + 4x) = 5x + 0.5 Reorder the terms: -32 + 4x = 0.5 + 5x Solving -32 + 4x = 0.5 + 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. -32 + 4x + -5x = 0.5 + 5x + -5x Combine like terms: 4x + -5x = -1x -32 + -1x = 0.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + -1x = 0.5 + 0 -32 + -1x = 0.5 Add '32' to each side of the equation. -32 + 32 + -1x = 0.5 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = 0.5 + 32 -1x = 0.5 + 32 Combine like terms: 0.5 + 32 = 32.5 -1x = 32.5 Divide each side by '-1'. x = -32.5 Simplifying x = -32.5
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