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Simplifying 9 + 0.5(9 + x) = x 9 + (9 * 0.5 + x * 0.5) = x 9 + (4.5 + 0.5x) = x Combine like terms: 9 + 4.5 = 13.5 13.5 + 0.5x = x Solving 13.5 + 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. 13.5 + 0.5x + -1x = x + -1x Combine like terms: 0.5x + -1x = -0.5x 13.5 + -0.5x = x + -1x Combine like terms: x + -1x = 0 13.5 + -0.5x = 0 Add '-13.5' to each side of the equation. 13.5 + -13.5 + -0.5x = 0 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + -0.5x = 0 + -13.5 -0.5x = 0 + -13.5 Combine like terms: 0 + -13.5 = -13.5 -0.5x = -13.5 Divide each side by '-0.5'. x = 27 Simplifying x = 27
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