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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 Solving -5 + 2x = 5 + 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. -5 + 2x + -1x = 5 + x + -1x Combine like terms: 2x + -1x = 1x -5 + 1x = 5 + x + -1x Combine like terms: x + -1x = 0 -5 + 1x = 5 + 0 -5 + 1x = 5 Add '5' to each side of the equation. -5 + 5 + 1x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 5 + 5 1x = 5 + 5 Combine like terms: 5 + 5 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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