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Simplifying 0.5(x + 9) = 2x Reorder the terms: 0.5(9 + x) = 2x (9 * 0.5 + x * 0.5) = 2x (4.5 + 0.5x) = 2x Solving 4.5 + 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. 4.5 + 0.5x + -2x = 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 4.5 + -1.5x = 2x + -2x Combine like terms: 2x + -2x = 0 4.5 + -1.5x = 0 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -1.5x = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -1.5x = 0 + -4.5 -1.5x = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -1.5x = -4.5 Divide each side by '-1.5'. x = 3 Simplifying x = 3
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