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Simplifying 0.40x + 0.05(12 + -1x) = 0.10(-36) 0.40x + (12 * 0.05 + -1x * 0.05) = 0.10(-36) 0.40x + (0.6 + -0.05x) = 0.10(-36) Reorder the terms: 0.6 + 0.40x + -0.05x = 0.10(-36) Combine like terms: 0.40x + -0.05x = 0.35x 0.6 + 0.35x = 0.10(-36) Multiply 0.10 * -36 0.6 + 0.35x = -3.6 Solving 0.6 + 0.35x = -3.6 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 + 0.35x = -3.6 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.35x = -3.6 + -0.6 0.35x = -3.6 + -0.6 Combine like terms: -3.6 + -0.6 = -4.2 0.35x = -4.2 Divide each side by '0.35'. x = -12 Simplifying x = -12
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