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