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Simplifying 0.5(x + 6) = 2x Reorder the terms: 0.5(6 + x) = 2x (6 * 0.5 + x * 0.5) = 2x (3 + 0.5x) = 2x Solving 3 + 0.5x = 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. 3 + 0.5x + -2x = 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 3 + -1.5x = 2x + -2x Combine like terms: 2x + -2x = 0 3 + -1.5x = 0 Add '-3' to each side of the equation. 3 + -3 + -1.5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5x = 0 + -3 -1.5x = 0 + -3 Combine like terms: 0 + -3 = -3 -1.5x = -3 Divide each side by '-1.5'. x = 2 Simplifying x = 2
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