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