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Simplifying 0.70x + 0.05(8 + -1x) = 0.10(-35) 0.70x + (8 * 0.05 + -1x * 0.05) = 0.10(-35) 0.70x + (0.4 + -0.05x) = 0.10(-35) Reorder the terms: 0.4 + 0.70x + -0.05x = 0.10(-35) Combine like terms: 0.70x + -0.05x = 0.65x 0.4 + 0.65x = 0.10(-35) Multiply 0.10 * -35 0.4 + 0.65x = -3.5 Solving 0.4 + 0.65x = -3.5 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 + 0.65x = -3.5 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.65x = -3.5 + -0.4 0.65x = -3.5 + -0.4 Combine like terms: -3.5 + -0.4 = -3.9 0.65x = -3.9 Divide each side by '0.65'. x = -6 Simplifying x = -6
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