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Simplifying 12x(5 + -2y) = 40 (5 * 12x + -2y * 12x) = 40 (60x + -24xy) = 40 Solving 60x + -24xy = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -40 + 60x + -24xy = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 60x + -24xy = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-10 + 15x + -6xy) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-10 + 15x + -6xy)' equal to zero and attempt to solve: Simplifying -10 + 15x + -6xy = 0 Solving -10 + 15x + -6xy = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 15x + 10 + -6xy = 0 + 10 Reorder the terms: -10 + 10 + 15x + -6xy = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 15x + -6xy = 0 + 10 15x + -6xy = 0 + 10 Combine like terms: 0 + 10 = 10 15x + -6xy = 10 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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