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Simplifying 0.60x + 0.05(20 + -1x) = 0.1(-89) 0.60x + (20 * 0.05 + -1x * 0.05) = 0.1(-89) 0.60x + (1 + -0.05x) = 0.1(-89) Reorder the terms: 1 + 0.60x + -0.05x = 0.1(-89) Combine like terms: 0.60x + -0.05x = 0.55x 1 + 0.55x = 0.1(-89) Multiply 0.1 * -89 1 + 0.55x = -8.9 Solving 1 + 0.55x = -8.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.55x = -8.9 + -1 Combine like terms: 1 + -1 = 0 0 + 0.55x = -8.9 + -1 0.55x = -8.9 + -1 Combine like terms: -8.9 + -1 = -9.9 0.55x = -9.9 Divide each side by '0.55'. x = -18 Simplifying x = -18
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