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Simplifying 0.40x + 0.05(18 + -1x) = 0.10(-33) 0.40x + (18 * 0.05 + -1x * 0.05) = 0.10(-33) 0.40x + (0.9 + -0.05x) = 0.10(-33) Reorder the terms: 0.9 + 0.40x + -0.05x = 0.10(-33) Combine like terms: 0.40x + -0.05x = 0.35x 0.9 + 0.35x = 0.10(-33) Multiply 0.10 * -33 0.9 + 0.35x = -3.3 Solving 0.9 + 0.35x = -3.3 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 + 0.35x = -3.3 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.35x = -3.3 + -0.9 0.35x = -3.3 + -0.9 Combine like terms: -3.3 + -0.9 = -4.2 0.35x = -4.2 Divide each side by '0.35'. x = -12 Simplifying x = -12
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