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Simplifying 0.09(450 + x) = x (450 * 0.09 + x * 0.09) = x (40.5 + 0.09x) = x Solving 40.5 + 0.09x = 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. 40.5 + 0.09x + -1x = x + -1x Combine like terms: 0.09x + -1x = -0.91x 40.5 + -0.91x = x + -1x Combine like terms: x + -1x = 0 40.5 + -0.91x = 0 Add '-40.5' to each side of the equation. 40.5 + -40.5 + -0.91x = 0 + -40.5 Combine like terms: 40.5 + -40.5 = 0.0 0.0 + -0.91x = 0 + -40.5 -0.91x = 0 + -40.5 Combine like terms: 0 + -40.5 = -40.5 -0.91x = -40.5 Divide each side by '-0.91'. x = 44.50549451 Simplifying x = 44.50549451
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