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Simplifying 4x(y + -2) + 4 = 52 Reorder the terms: 4x(-2 + y) + 4 = 52 (-2 * 4x + y * 4x) + 4 = 52 (-8x + 4xy) + 4 = 52 Reorder the terms: 4 + -8x + 4xy = 52 Solving 4 + -8x + 4xy = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -8x + -4 + 4xy = 52 + -4 Reorder the terms: 4 + -4 + -8x + 4xy = 52 + -4 Combine like terms: 4 + -4 = 0 0 + -8x + 4xy = 52 + -4 -8x + 4xy = 52 + -4 Combine like terms: 52 + -4 = 48 -8x + 4xy = 48 Reorder the terms: -48 + -8x + 4xy = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + -8x + 4xy = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + -2x + xy) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-12 + -2x + xy)' equal to zero and attempt to solve: Simplifying -12 + -2x + xy = 0 Solving -12 + -2x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -2x + 12 + xy = 0 + 12 Reorder the terms: -12 + 12 + -2x + xy = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2x + xy = 0 + 12 -2x + xy = 0 + 12 Combine like terms: 0 + 12 = 12 -2x + xy = 12 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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