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Simplifying 1.15x + 0.10(50 + -1x) = 1.12(50) 1.15x + (50 * 0.10 + -1x * 0.10) = 1.12(50) 1.15x + (5 + -0.1x) = 1.12(50) Reorder the terms: 5 + 1.15x + -0.1x = 1.12(50) Combine like terms: 1.15x + -0.1x = 1.05x 5 + 1.05x = 1.12(50) Multiply 1.12 * 50 5 + 1.05x = 56 Solving 5 + 1.05x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1.05x = 56 + -5 Combine like terms: 5 + -5 = 0 0 + 1.05x = 56 + -5 1.05x = 56 + -5 Combine like terms: 56 + -5 = 51 1.05x = 51 Divide each side by '1.05'. x = 48.57142857 Simplifying x = 48.57142857
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