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Simplifying 0.2(x + 20) + -0.08(x + -40) = 14.4 Reorder the terms: 0.2(20 + x) + -0.08(x + -40) = 14.4 (20 * 0.2 + x * 0.2) + -0.08(x + -40) = 14.4 (4 + 0.2x) + -0.08(x + -40) = 14.4 Reorder the terms: 4 + 0.2x + -0.08(-40 + x) = 14.4 4 + 0.2x + (-40 * -0.08 + x * -0.08) = 14.4 4 + 0.2x + (3.2 + -0.08x) = 14.4 Reorder the terms: 4 + 3.2 + 0.2x + -0.08x = 14.4 Combine like terms: 4 + 3.2 = 7.2 7.2 + 0.2x + -0.08x = 14.4 Combine like terms: 0.2x + -0.08x = 0.12x 7.2 + 0.12x = 14.4 Solving 7.2 + 0.12x = 14.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.2' to each side of the equation. 7.2 + -7.2 + 0.12x = 14.4 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 0.12x = 14.4 + -7.2 0.12x = 14.4 + -7.2 Combine like terms: 14.4 + -7.2 = 7.2 0.12x = 7.2 Divide each side by '0.12'. x = 60 Simplifying x = 60
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