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Simplifying 4x(y + -3) = 2(y + 1) Reorder the terms: 4x(-3 + y) = 2(y + 1) (-3 * 4x + y * 4x) = 2(y + 1) (-12x + 4xy) = 2(y + 1) Reorder the terms: -12x + 4xy = 2(1 + y) -12x + 4xy = (1 * 2 + y * 2) -12x + 4xy = (2 + 2y) Solving -12x + 4xy = 2 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -2 + -12x + 4xy + -2y = 2 + 2y + -2 + -2y Reorder the terms: -2 + -12x + 4xy + -2y = 2 + -2 + 2y + -2y Combine like terms: 2 + -2 = 0 -2 + -12x + 4xy + -2y = 0 + 2y + -2y -2 + -12x + 4xy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -2 + -12x + 4xy + -2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -6x + 2xy + -1y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -6x + 2xy + -1y)' equal to zero and attempt to solve: Simplifying -1 + -6x + 2xy + -1y = 0 Solving -1 + -6x + 2xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -6x + 2xy + 1 + -1y = 0 + 1 Reorder the terms: -1 + 1 + -6x + 2xy + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x + 2xy + -1y = 0 + 1 -6x + 2xy + -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -6x + 2xy + -1y = 1 Add 'y' to each side of the equation. -6x + 2xy + -1y + y = 1 + y Combine like terms: -1y + y = 0 -6x + 2xy + 0 = 1 + y -6x + 2xy = 1 + y 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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