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Simplifying 0.25x + 0.05(18 + -1x) = 0.10(19) 0.25x + (18 * 0.05 + -1x * 0.05) = 0.10(19) 0.25x + (0.9 + -0.05x) = 0.10(19) Reorder the terms: 0.9 + 0.25x + -0.05x = 0.10(19) Combine like terms: 0.25x + -0.05x = 0.2x 0.9 + 0.2x = 0.10(19) Multiply 0.10 * 19 0.9 + 0.2x = 1.9 Solving 0.9 + 0.2x = 1.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.2x = 1.9 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.2x = 1.9 + -0.9 0.2x = 1.9 + -0.9 Combine like terms: 1.9 + -0.9 = 1 0.2x = 1 Divide each side by '0.2'. x = 5 Simplifying x = 5
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