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Simplifying 0.01x + 0.1x + 0.25(45 + -2x) = 5.01 0.01x + 0.1x + (45 * 0.25 + -2x * 0.25) = 5.01 0.01x + 0.1x + (11.25 + -0.5x) = 5.01 Reorder the terms: 11.25 + 0.01x + 0.1x + -0.5x = 5.01 Combine like terms: 0.01x + 0.1x = 0.11x 11.25 + 0.11x + -0.5x = 5.01 Combine like terms: 0.11x + -0.5x = -0.39x 11.25 + -0.39x = 5.01 Solving 11.25 + -0.39x = 5.01 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.25' to each side of the equation. 11.25 + -11.25 + -0.39x = 5.01 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + -0.39x = 5.01 + -11.25 -0.39x = 5.01 + -11.25 Combine like terms: 5.01 + -11.25 = -6.24 -0.39x = -6.24 Divide each side by '-0.39'. x = 16 Simplifying x = 16
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