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Simplifying 0.90x + 0.05(4 + -1x) = 0.10(-100) 0.90x + (4 * 0.05 + -1x * 0.05) = 0.10(-100) 0.90x + (0.2 + -0.05x) = 0.10(-100) Reorder the terms: 0.2 + 0.90x + -0.05x = 0.10(-100) Combine like terms: 0.90x + -0.05x = 0.85x 0.2 + 0.85x = 0.10(-100) Multiply 0.10 * -100 0.2 + 0.85x = -10 Solving 0.2 + 0.85x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.85x = -10 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.85x = -10 + -0.2 0.85x = -10 + -0.2 Combine like terms: -10 + -0.2 = -10.2 0.85x = -10.2 Divide each side by '0.85'. x = -12 Simplifying x = -12
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