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Simplifying 4x(10 + -6y) = 14 (10 * 4x + -6y * 4x) = 14 (40x + -24xy) = 14 Solving 40x + -24xy = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -14 + 40x + -24xy = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 40x + -24xy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + 20x + -12xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + 20x + -12xy)' equal to zero and attempt to solve: Simplifying -7 + 20x + -12xy = 0 Solving -7 + 20x + -12xy = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 20x + 7 + -12xy = 0 + 7 Reorder the terms: -7 + 7 + 20x + -12xy = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 20x + -12xy = 0 + 7 20x + -12xy = 0 + 7 Combine like terms: 0 + 7 = 7 20x + -12xy = 7 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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