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Simplifying 0.65x + 0.05(18 + -1x) = 0.10(-75) 0.65x + (18 * 0.05 + -1x * 0.05) = 0.10(-75) 0.65x + (0.9 + -0.05x) = 0.10(-75) Reorder the terms: 0.9 + 0.65x + -0.05x = 0.10(-75) Combine like terms: 0.65x + -0.05x = 0.6x 0.9 + 0.6x = 0.10(-75) Multiply 0.10 * -75 0.9 + 0.6x = -7.5 Solving 0.9 + 0.6x = -7.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.6x = -7.5 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.6x = -7.5 + -0.9 0.6x = -7.5 + -0.9 Combine like terms: -7.5 + -0.9 = -8.4 0.6x = -8.4 Divide each side by '0.6'. x = -14 Simplifying x = -14
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