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