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Simplifying 0.70x + 0.05(6 + -1x) = 0.10(-114) 0.70x + (6 * 0.05 + -1x * 0.05) = 0.10(-114) 0.70x + (0.3 + -0.05x) = 0.10(-114) Reorder the terms: 0.3 + 0.70x + -0.05x = 0.10(-114) Combine like terms: 0.70x + -0.05x = 0.65x 0.3 + 0.65x = 0.10(-114) Multiply 0.10 * -114 0.3 + 0.65x = -11.4 Solving 0.3 + 0.65x = -11.4 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 + 0.65x = -11.4 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.65x = -11.4 + -0.3 0.65x = -11.4 + -0.3 Combine like terms: -11.4 + -0.3 = -11.7 0.65x = -11.7 Divide each side by '0.65'. x = -18 Simplifying x = -18
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