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Simplifying 6.35(x) + 1.50(40 + -1x) = 40(3.50) 6.35x + (40 * 1.50 + -1x * 1.50) = 40(3.50) 6.35x + (60 + -1.5x) = 40(3.50) Reorder the terms: 60 + 6.35x + -1.5x = 40(3.50) Combine like terms: 6.35x + -1.5x = 4.85x 60 + 4.85x = 40(3.50) Multiply 40 * 3.50 60 + 4.85x = 140 Solving 60 + 4.85x = 140 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 4.85x = 140 + -60 Combine like terms: 60 + -60 = 0 0 + 4.85x = 140 + -60 4.85x = 140 + -60 Combine like terms: 140 + -60 = 80 4.85x = 80 Divide each side by '4.85'. x = 16.49484536 Simplifying x = 16.49484536
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