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Simplifying 0.40 + 0.05(12 + -1x) = 0.10(-22) 0.40 + (12 * 0.05 + -1x * 0.05) = 0.10(-22) 0.40 + (0.6 + -0.05x) = 0.10(-22) Combine like terms: 0.40 + 0.6 = 1 1 + -0.05x = 0.10(-22) Multiply 0.10 * -22 1 + -0.05x = -2.2 Solving 1 + -0.05x = -2.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -0.05x = -2.2 + -1 Combine like terms: 1 + -1 = 0 0 + -0.05x = -2.2 + -1 -0.05x = -2.2 + -1 Combine like terms: -2.2 + -1 = -3.2 -0.05x = -3.2 Divide each side by '-0.05'. x = 64 Simplifying x = 64
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