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Simplifying 0.60x + 0.05(12 + -1x) = 0.10(-38) 0.60x + (12 * 0.05 + -1x * 0.05) = 0.10(-38) 0.60x + (0.6 + -0.05x) = 0.10(-38) Reorder the terms: 0.6 + 0.60x + -0.05x = 0.10(-38) Combine like terms: 0.60x + -0.05x = 0.55x 0.6 + 0.55x = 0.10(-38) Multiply 0.10 * -38 0.6 + 0.55x = -3.8 Solving 0.6 + 0.55x = -3.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.55x = -3.8 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.55x = -3.8 + -0.6 0.55x = -3.8 + -0.6 Combine like terms: -3.8 + -0.6 = -4.4 0.55x = -4.4 Divide each side by '0.55'. x = -8 Simplifying x = -8
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