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Simplifying 0.5(-4x + 10) = 4 + -1x Reorder the terms: 0.5(10 + -4x) = 4 + -1x (10 * 0.5 + -4x * 0.5) = 4 + -1x (5 + -2x) = 4 + -1x Solving 5 + -2x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + -2x + x = 4 + -1x + x Combine like terms: -2x + x = -1x 5 + -1x = 4 + -1x + x Combine like terms: -1x + x = 0 5 + -1x = 4 + 0 5 + -1x = 4 Add '-5' to each side of the equation. 5 + -5 + -1x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 4 + -5 -1x = 4 + -5 Combine like terms: 4 + -5 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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