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Simplifying 0.01x + 0.10x + 0.25(32 + -2x) = 2.54 0.01x + 0.10x + (32 * 0.25 + -2x * 0.25) = 2.54 0.01x + 0.10x + (8 + -0.5x) = 2.54 Reorder the terms: 8 + 0.01x + 0.10x + -0.5x = 2.54 Combine like terms: 0.01x + 0.10x = 0.11x 8 + 0.11x + -0.5x = 2.54 Combine like terms: 0.11x + -0.5x = -0.39x 8 + -0.39x = 2.54 Solving 8 + -0.39x = 2.54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -0.39x = 2.54 + -8 Combine like terms: 8 + -8 = 0 0 + -0.39x = 2.54 + -8 -0.39x = 2.54 + -8 Combine like terms: 2.54 + -8 = -5.46 -0.39x = -5.46 Divide each side by '-0.39'. x = 14 Simplifying x = 14
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