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Simplifying 0.30x + 0.05(6 + -1x) = 10(-2) 0.30x + (6 * 0.05 + -1x * 0.05) = 10(-2) 0.30x + (0.3 + -0.05x) = 10(-2) Reorder the terms: 0.3 + 0.30x + -0.05x = 10(-2) Combine like terms: 0.30x + -0.05x = 0.25x 0.3 + 0.25x = 10(-2) Multiply 10 * -2 0.3 + 0.25x = -20 Solving 0.3 + 0.25x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.25x = -20 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.25x = -20 + -0.3 0.25x = -20 + -0.3 Combine like terms: -20 + -0.3 = -20.3 0.25x = -20.3 Divide each side by '0.25'. x = -81.2 Simplifying x = -81.2
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