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Simplifying 0.40 + 0.05(16 + -1x) = 0.10(-27) 0.40 + (16 * 0.05 + -1x * 0.05) = 0.10(-27) 0.40 + (0.8 + -0.05x) = 0.10(-27) Combine like terms: 0.40 + 0.8 = 1.2 1.2 + -0.05x = 0.10(-27) Multiply 0.10 * -27 1.2 + -0.05x = -2.7 Solving 1.2 + -0.05x = -2.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.05x = -2.7 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.05x = -2.7 + -1.2 -0.05x = -2.7 + -1.2 Combine like terms: -2.7 + -1.2 = -3.9 -0.05x = -3.9 Divide each side by '-0.05'. x = 78 Simplifying x = 78
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