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Simplifying 0.01x + 0.10x + 0.25(36 + -2x) = 3.15 0.01x + 0.10x + (36 * 0.25 + -2x * 0.25) = 3.15 0.01x + 0.10x + (9 + -0.5x) = 3.15 Reorder the terms: 9 + 0.01x + 0.10x + -0.5x = 3.15 Combine like terms: 0.01x + 0.10x = 0.11x 9 + 0.11x + -0.5x = 3.15 Combine like terms: 0.11x + -0.5x = -0.39x 9 + -0.39x = 3.15 Solving 9 + -0.39x = 3.15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -0.39x = 3.15 + -9 Combine like terms: 9 + -9 = 0 0 + -0.39x = 3.15 + -9 -0.39x = 3.15 + -9 Combine like terms: 3.15 + -9 = -5.85 -0.39x = -5.85 Divide each side by '-0.39'. x = 15 Simplifying x = 15
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