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Simplifying 0.01x + 0.10x + 0.25(30 + -2x) = 2.82 0.01x + 0.10x + (30 * 0.25 + -2x * 0.25) = 2.82 0.01x + 0.10x + (7.5 + -0.5x) = 2.82 Reorder the terms: 7.5 + 0.01x + 0.10x + -0.5x = 2.82 Combine like terms: 0.01x + 0.10x = 0.11x 7.5 + 0.11x + -0.5x = 2.82 Combine like terms: 0.11x + -0.5x = -0.39x 7.5 + -0.39x = 2.82 Solving 7.5 + -0.39x = 2.82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.39x = 2.82 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.39x = 2.82 + -7.5 -0.39x = 2.82 + -7.5 Combine like terms: 2.82 + -7.5 = -4.68 -0.39x = -4.68 Divide each side by '-0.39'. x = 12 Simplifying x = 12
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