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Simplifying 0.55x + 0.05(20 + -1x) = 0.10(-40) 0.55x + (20 * 0.05 + -1x * 0.05) = 0.10(-40) 0.55x + (1 + -0.05x) = 0.10(-40) Reorder the terms: 1 + 0.55x + -0.05x = 0.10(-40) Combine like terms: 0.55x + -0.05x = 0.5x 1 + 0.5x = 0.10(-40) Multiply 0.10 * -40 1 + 0.5x = -4 Solving 1 + 0.5x = -4 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 + 0.5x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5x = -4 + -1 0.5x = -4 + -1 Combine like terms: -4 + -1 = -5 0.5x = -5 Divide each side by '0.5'. x = -10 Simplifying x = -10
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