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Simplifying 0.2(x + 50) + -0.08(x + -20) = 6.8 Reorder the terms: 0.2(50 + x) + -0.08(x + -20) = 6.8 (50 * 0.2 + x * 0.2) + -0.08(x + -20) = 6.8 (10 + 0.2x) + -0.08(x + -20) = 6.8 Reorder the terms: 10 + 0.2x + -0.08(-20 + x) = 6.8 10 + 0.2x + (-20 * -0.08 + x * -0.08) = 6.8 10 + 0.2x + (1.6 + -0.08x) = 6.8 Reorder the terms: 10 + 1.6 + 0.2x + -0.08x = 6.8 Combine like terms: 10 + 1.6 = 11.6 11.6 + 0.2x + -0.08x = 6.8 Combine like terms: 0.2x + -0.08x = 0.12x 11.6 + 0.12x = 6.8 Solving 11.6 + 0.12x = 6.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.6' to each side of the equation. 11.6 + -11.6 + 0.12x = 6.8 + -11.6 Combine like terms: 11.6 + -11.6 = 0.0 0.0 + 0.12x = 6.8 + -11.6 0.12x = 6.8 + -11.6 Combine like terms: 6.8 + -11.6 = -4.8 0.12x = -4.8 Divide each side by '0.12'. x = -40 Simplifying x = -40
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