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Simplifying 4(-5 + x) = 5x + 0.5 (-5 * 4 + x * 4) = 5x + 0.5 (-20 + 4x) = 5x + 0.5 Reorder the terms: -20 + 4x = 0.5 + 5x Solving -20 + 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. -20 + 4x + -5x = 0.5 + 5x + -5x Combine like terms: 4x + -5x = -1x -20 + -1x = 0.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + -1x = 0.5 + 0 -20 + -1x = 0.5 Add '20' to each side of the equation. -20 + 20 + -1x = 0.5 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0.5 + 20 -1x = 0.5 + 20 Combine like terms: 0.5 + 20 = 20.5 -1x = 20.5 Divide each side by '-1'. x = -20.5 Simplifying x = -20.5
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