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Simplifying 1.15x + 0.15(50 + -1x) = 1.12(50) 1.15x + (50 * 0.15 + -1x * 0.15) = 1.12(50) 1.15x + (7.5 + -0.15x) = 1.12(50) Reorder the terms: 7.5 + 1.15x + -0.15x = 1.12(50) Combine like terms: 1.15x + -0.15x = 1x 7.5 + 1x = 1.12(50) Multiply 1.12 * 50 7.5 + 1x = 56 Solving 7.5 + 1x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + 1x = 56 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 1x = 56 + -7.5 1x = 56 + -7.5 Combine like terms: 56 + -7.5 = 48.5 1x = 48.5 Divide each side by '1'. x = 48.5 Simplifying x = 48.5
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