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Simplifying 0.25x + 0.15(100 + -1x) = 0.19(100) 0.25x + (100 * 0.15 + -1x * 0.15) = 0.19(100) 0.25x + (15 + -0.15x) = 0.19(100) Reorder the terms: 15 + 0.25x + -0.15x = 0.19(100) Combine like terms: 0.25x + -0.15x = 0.1x 15 + 0.1x = 0.19(100) Multiply 0.19 * 100 15 + 0.1x = 19 Solving 15 + 0.1x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 0.1x = 19 + -15 Combine like terms: 15 + -15 = 0 0 + 0.1x = 19 + -15 0.1x = 19 + -15 Combine like terms: 19 + -15 = 4 0.1x = 4 Divide each side by '0.1'. x = 40 Simplifying x = 40
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