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Simplifying 0.60x + 0.05(18 + -1x) = 0.10(-2) 0.60x + (18 * 0.05 + -1x * 0.05) = 0.10(-2) 0.60x + (0.9 + -0.05x) = 0.10(-2) Reorder the terms: 0.9 + 0.60x + -0.05x = 0.10(-2) Combine like terms: 0.60x + -0.05x = 0.55x 0.9 + 0.55x = 0.10(-2) Multiply 0.10 * -2 0.9 + 0.55x = -0.2 Solving 0.9 + 0.55x = -0.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.55x = -0.2 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.55x = -0.2 + -0.9 0.55x = -0.2 + -0.9 Combine like terms: -0.2 + -0.9 = -1.1 0.55x = -1.1 Divide each side by '0.55'. x = -2 Simplifying x = -2
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