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Simplifying 0.5(x + 9) = x Reorder the terms: 0.5(9 + x) = x (9 * 0.5 + x * 0.5) = x (4.5 + 0.5x) = x Solving 4.5 + 0.5x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4.5 + 0.5x + -1x = x + -1x Combine like terms: 0.5x + -1x = -0.5x 4.5 + -0.5x = x + -1x Combine like terms: x + -1x = 0 4.5 + -0.5x = 0 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -0.5x = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.5x = 0 + -4.5 -0.5x = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -0.5x = -4.5 Divide each side by '-0.5'. x = 9 Simplifying x = 9
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