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Simplifying 0.65x + 0.05(8 + -1x) = 0.10(-56) 0.65x + (8 * 0.05 + -1x * 0.05) = 0.10(-56) 0.65x + (0.4 + -0.05x) = 0.10(-56) Reorder the terms: 0.4 + 0.65x + -0.05x = 0.10(-56) Combine like terms: 0.65x + -0.05x = 0.6x 0.4 + 0.6x = 0.10(-56) Multiply 0.10 * -56 0.4 + 0.6x = -5.6 Solving 0.4 + 0.6x = -5.6 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 + 0.6x = -5.6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.6x = -5.6 + -0.4 0.6x = -5.6 + -0.4 Combine like terms: -5.6 + -0.4 = -6 0.6x = -6 Divide each side by '0.6'. x = -10 Simplifying x = -10
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