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Simplifying 0.60 + 0.05(8 + -1x) = 0.10(-29) 0.60 + (8 * 0.05 + -1x * 0.05) = 0.10(-29) 0.60 + (0.4 + -0.05x) = 0.10(-29) Combine like terms: 0.60 + 0.4 = 1 1 + -0.05x = 0.10(-29) Multiply 0.10 * -29 1 + -0.05x = -2.9 Solving 1 + -0.05x = -2.9 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 = -2.9 + -1 Combine like terms: 1 + -1 = 0 0 + -0.05x = -2.9 + -1 -0.05x = -2.9 + -1 Combine like terms: -2.9 + -1 = -3.9 -0.05x = -3.9 Divide each side by '-0.05'. x = 78 Simplifying x = 78
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