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Simplifying (120xS) + (80xL) = 1560 Reorder the terms: (80xL) + (120xS) = 1560 Solving (80xL) + (120xS) = 1560 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -1560 + (80xL) + (120xS) = 1560 + -1560 Combine like terms: 1560 + -1560 = 0 -1560 + (80xL) + (120xS) = 0 Factor out the Greatest Common Factor (GCF), '40'. 40(-39 + (2xL) + (3xS)) = 0 Ignore the factor 40.Subproblem 1
Set the factor '(-39 + (2xL) + (3xS))' equal to zero and attempt to solve: Simplifying -39 + (2xL) + (3xS) = 0 Solving -39 + (2xL) + (3xS) = 0 Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + (2xL) + 39 + (3xS) = 0 + 39 Reorder the terms: -39 + 39 + (2xL) + (3xS) = 0 + 39 Combine like terms: -39 + 39 = 0 0 + (2xL) + (3xS) = 0 + 39 (2xL) + (3xS) = 0 + 39 Combine like terms: 0 + 39 = 39 (2xL) + (3xS) = 39 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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