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Simplifying 0.80x + 0.05(10 + -1x) = 0.10(-25) 0.80x + (10 * 0.05 + -1x * 0.05) = 0.10(-25) 0.80x + (0.5 + -0.05x) = 0.10(-25) Reorder the terms: 0.5 + 0.80x + -0.05x = 0.10(-25) Combine like terms: 0.80x + -0.05x = 0.75x 0.5 + 0.75x = 0.10(-25) Multiply 0.10 * -25 0.5 + 0.75x = -2.5 Solving 0.5 + 0.75x = -2.5 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 + 0.75x = -2.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.75x = -2.5 + -0.5 0.75x = -2.5 + -0.5 Combine like terms: -2.5 + -0.5 = -3 0.75x = -3 Divide each side by '0.75'. x = -4 Simplifying x = -4
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