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Simplifying 0.35x + 0.05(12 + -1x) = 0.10(-12) 0.35x + (12 * 0.05 + -1x * 0.05) = 0.10(-12) 0.35x + (0.6 + -0.05x) = 0.10(-12) Reorder the terms: 0.6 + 0.35x + -0.05x = 0.10(-12) Combine like terms: 0.35x + -0.05x = 0.3x 0.6 + 0.3x = 0.10(-12) Multiply 0.10 * -12 0.6 + 0.3x = -1.2 Solving 0.6 + 0.3x = -1.2 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 + 0.3x = -1.2 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.3x = -1.2 + -0.6 0.3x = -1.2 + -0.6 Combine like terms: -1.2 + -0.6 = -1.8 0.3x = -1.8 Divide each side by '0.3'. x = -6 Simplifying x = -6
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