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Simplifying 2x(4y + -3) = 4(2y + 7) Reorder the terms: 2x(-3 + 4y) = 4(2y + 7) (-3 * 2x + 4y * 2x) = 4(2y + 7) (-6x + 8xy) = 4(2y + 7) Reorder the terms: -6x + 8xy = 4(7 + 2y) -6x + 8xy = (7 * 4 + 2y * 4) -6x + 8xy = (28 + 8y) Solving -6x + 8xy = 28 + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -28 + -6x + 8xy + -8y = 28 + 8y + -28 + -8y Reorder the terms: -28 + -6x + 8xy + -8y = 28 + -28 + 8y + -8y Combine like terms: 28 + -28 = 0 -28 + -6x + 8xy + -8y = 0 + 8y + -8y -28 + -6x + 8xy + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 -28 + -6x + 8xy + -8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + -3x + 4xy + -4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -3x + 4xy + -4y)' equal to zero and attempt to solve: Simplifying -14 + -3x + 4xy + -4y = 0 Solving -14 + -3x + 4xy + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -3x + 4xy + 14 + -4y = 0 + 14 Reorder the terms: -14 + 14 + -3x + 4xy + -4y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3x + 4xy + -4y = 0 + 14 -3x + 4xy + -4y = 0 + 14 Combine like terms: 0 + 14 = 14 -3x + 4xy + -4y = 14 Add '4y' to each side of the equation. -3x + 4xy + -4y + 4y = 14 + 4y Combine like terms: -4y + 4y = 0 -3x + 4xy + 0 = 14 + 4y -3x + 4xy = 14 + 4y 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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