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Simplifying 0.1x + 0.25(35 + -1x) = 5.75 0.1x + (35 * 0.25 + -1x * 0.25) = 5.75 0.1x + (8.75 + -0.25x) = 5.75 Reorder the terms: 8.75 + 0.1x + -0.25x = 5.75 Combine like terms: 0.1x + -0.25x = -0.15x 8.75 + -0.15x = 5.75 Solving 8.75 + -0.15x = 5.75 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 + -0.15x = 5.75 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + -0.15x = 5.75 + -8.75 -0.15x = 5.75 + -8.75 Combine like terms: 5.75 + -8.75 = -3 -0.15x = -3 Divide each side by '-0.15'. x = 20 Simplifying x = 20
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