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Simplifying 0.25x + 0.5(20 + -1x) = 0.10(-6) 0.25x + (20 * 0.5 + -1x * 0.5) = 0.10(-6) 0.25x + (10 + -0.5x) = 0.10(-6) Reorder the terms: 10 + 0.25x + -0.5x = 0.10(-6) Combine like terms: 0.25x + -0.5x = -0.25x 10 + -0.25x = 0.10(-6) Multiply 0.10 * -6 10 + -0.25x = -0.6 Solving 10 + -0.25x = -0.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -0.25x = -0.6 + -10 Combine like terms: 10 + -10 = 0 0 + -0.25x = -0.6 + -10 -0.25x = -0.6 + -10 Combine like terms: -0.6 + -10 = -10.6 -0.25x = -10.6 Divide each side by '-0.25'. x = 42.4 Simplifying x = 42.4
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