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Simplifying 0.85x + 0.05(10 + -1x) = 0.10(-107) 0.85x + (10 * 0.05 + -1x * 0.05) = 0.10(-107) 0.85x + (0.5 + -0.05x) = 0.10(-107) Reorder the terms: 0.5 + 0.85x + -0.05x = 0.10(-107) Combine like terms: 0.85x + -0.05x = 0.8x 0.5 + 0.8x = 0.10(-107) Multiply 0.10 * -107 0.5 + 0.8x = -10.7 Solving 0.5 + 0.8x = -10.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.8x = -10.7 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.8x = -10.7 + -0.5 0.8x = -10.7 + -0.5 Combine like terms: -10.7 + -0.5 = -11.2 0.8x = -11.2 Divide each side by '0.8'. x = -14 Simplifying x = -14
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