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Simplifying 0.60x + 0.05(6 + -1x) = 0.10(-74) 0.60x + (6 * 0.05 + -1x * 0.05) = 0.10(-74) 0.60x + (0.3 + -0.05x) = 0.10(-74) Reorder the terms: 0.3 + 0.60x + -0.05x = 0.10(-74) Combine like terms: 0.60x + -0.05x = 0.55x 0.3 + 0.55x = 0.10(-74) Multiply 0.10 * -74 0.3 + 0.55x = -7.4 Solving 0.3 + 0.55x = -7.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.55x = -7.4 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.55x = -7.4 + -0.3 0.55x = -7.4 + -0.3 Combine like terms: -7.4 + -0.3 = -7.7 0.55x = -7.7 Divide each side by '0.55'. x = -14 Simplifying x = -14
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