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Simplifying 0.25x + 0.05(4 + -1x) = 0.10(14) 0.25x + (4 * 0.05 + -1x * 0.05) = 0.10(14) 0.25x + (0.2 + -0.05x) = 0.10(14) Reorder the terms: 0.2 + 0.25x + -0.05x = 0.10(14) Combine like terms: 0.25x + -0.05x = 0.2x 0.2 + 0.2x = 0.10(14) Multiply 0.10 * 14 0.2 + 0.2x = 1.4 Solving 0.2 + 0.2x = 1.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.2x = 1.4 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.2x = 1.4 + -0.2 0.2x = 1.4 + -0.2 Combine like terms: 1.4 + -0.2 = 1.2 0.2x = 1.2 Divide each side by '0.2'. x = 6 Simplifying x = 6
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