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Simplifying 4(-2 + x) = 5(x + 0.5) (-2 * 4 + x * 4) = 5(x + 0.5) (-8 + 4x) = 5(x + 0.5) Reorder the terms: -8 + 4x = 5(0.5 + x) -8 + 4x = (0.5 * 5 + x * 5) -8 + 4x = (2.5 + 5x) Solving -8 + 4x = 2.5 + 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. -8 + 4x + -5x = 2.5 + 5x + -5x Combine like terms: 4x + -5x = -1x -8 + -1x = 2.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -1x = 2.5 + 0 -8 + -1x = 2.5 Add '8' to each side of the equation. -8 + 8 + -1x = 2.5 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 2.5 + 8 -1x = 2.5 + 8 Combine like terms: 2.5 + 8 = 10.5 -1x = 10.5 Divide each side by '-1'. x = -10.5 Simplifying x = -10.5
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