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Simplifying 0.5(2x + 12) = 2x Reorder the terms: 0.5(12 + 2x) = 2x (12 * 0.5 + 2x * 0.5) = 2x (6 + 1x) = 2x Solving 6 + 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. 6 + 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x 6 + -1x = 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1x = 0 Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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