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Simplifying 5.80x + 4.60(117 + -1x) = 598.20 5.80x + (117 * 4.60 + -1x * 4.60) = 598.20 5.80x + (538.2 + -4.6x) = 598.20 Reorder the terms: 538.2 + 5.80x + -4.6x = 598.20 Combine like terms: 5.80x + -4.6x = 1.2x 538.2 + 1.2x = 598.20 Solving 538.2 + 1.2x = 598.20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-538.2' to each side of the equation. 538.2 + -538.2 + 1.2x = 598.20 + -538.2 Combine like terms: 538.2 + -538.2 = 0.0 0.0 + 1.2x = 598.20 + -538.2 1.2x = 598.20 + -538.2 Combine like terms: 598.20 + -538.2 = 60 1.2x = 60 Divide each side by '1.2'. x = 50 Simplifying x = 50
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