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Simplifying 0.6x + 0.05(8 + -1x) = 0.10(-18) 0.6x + (8 * 0.05 + -1x * 0.05) = 0.10(-18) 0.6x + (0.4 + -0.05x) = 0.10(-18) Reorder the terms: 0.4 + 0.6x + -0.05x = 0.10(-18) Combine like terms: 0.6x + -0.05x = 0.55x 0.4 + 0.55x = 0.10(-18) Multiply 0.10 * -18 0.4 + 0.55x = -1.8 Solving 0.4 + 0.55x = -1.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.55x = -1.8 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.55x = -1.8 + -0.4 0.55x = -1.8 + -0.4 Combine like terms: -1.8 + -0.4 = -2.2 0.55x = -2.2 Divide each side by '0.55'. x = -4 Simplifying x = -4
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