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Simplifying 0.65x + 0.05(12 + -1x) = 0.10(-66) 0.65x + (12 * 0.05 + -1x * 0.05) = 0.10(-66) 0.65x + (0.6 + -0.05x) = 0.10(-66) Reorder the terms: 0.6 + 0.65x + -0.05x = 0.10(-66) Combine like terms: 0.65x + -0.05x = 0.6x 0.6 + 0.6x = 0.10(-66) Multiply 0.10 * -66 0.6 + 0.6x = -6.6 Solving 0.6 + 0.6x = -6.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.6x = -6.6 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.6x = -6.6 + -0.6 0.6x = -6.6 + -0.6 Combine like terms: -6.6 + -0.6 = -7.2 0.6x = -7.2 Divide each side by '0.6'. x = -12 Simplifying x = -12
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