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Simplifying 0.01x + 0.10x + 0.25(39 + -2x) = 4.29 0.01x + 0.10x + (39 * 0.25 + -2x * 0.25) = 4.29 0.01x + 0.10x + (9.75 + -0.5x) = 4.29 Reorder the terms: 9.75 + 0.01x + 0.10x + -0.5x = 4.29 Combine like terms: 0.01x + 0.10x = 0.11x 9.75 + 0.11x + -0.5x = 4.29 Combine like terms: 0.11x + -0.5x = -0.39x 9.75 + -0.39x = 4.29 Solving 9.75 + -0.39x = 4.29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.75' to each side of the equation. 9.75 + -9.75 + -0.39x = 4.29 + -9.75 Combine like terms: 9.75 + -9.75 = 0.00 0.00 + -0.39x = 4.29 + -9.75 -0.39x = 4.29 + -9.75 Combine like terms: 4.29 + -9.75 = -5.46 -0.39x = -5.46 Divide each side by '-0.39'. x = 14 Simplifying x = 14
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