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Simplifying 0.01x + 0.10x + 0.25(35 + -2x) = 4.07 0.01x + 0.10x + (35 * 0.25 + -2x * 0.25) = 4.07 0.01x + 0.10x + (8.75 + -0.5x) = 4.07 Reorder the terms: 8.75 + 0.01x + 0.10x + -0.5x = 4.07 Combine like terms: 0.01x + 0.10x = 0.11x 8.75 + 0.11x + -0.5x = 4.07 Combine like terms: 0.11x + -0.5x = -0.39x 8.75 + -0.39x = 4.07 Solving 8.75 + -0.39x = 4.07 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.75' to each side of the equation. 8.75 + -8.75 + -0.39x = 4.07 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + -0.39x = 4.07 + -8.75 -0.39x = 4.07 + -8.75 Combine like terms: 4.07 + -8.75 = -4.68 -0.39x = -4.68 Divide each side by '-0.39'. x = 12 Simplifying x = 12
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