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Simplifying 0.01x + 0.10x + 0.25(29 + -2x) = 2.57 0.01x + 0.10x + (29 * 0.25 + -2x * 0.25) = 2.57 0.01x + 0.10x + (7.25 + -0.5x) = 2.57 Reorder the terms: 7.25 + 0.01x + 0.10x + -0.5x = 2.57 Combine like terms: 0.01x + 0.10x = 0.11x 7.25 + 0.11x + -0.5x = 2.57 Combine like terms: 0.11x + -0.5x = -0.39x 7.25 + -0.39x = 2.57 Solving 7.25 + -0.39x = 2.57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.25' to each side of the equation. 7.25 + -7.25 + -0.39x = 2.57 + -7.25 Combine like terms: 7.25 + -7.25 = 0.00 0.00 + -0.39x = 2.57 + -7.25 -0.39x = 2.57 + -7.25 Combine like terms: 2.57 + -7.25 = -4.68 -0.39x = -4.68 Divide each side by '-0.39'. x = 12 Simplifying x = 12
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