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Simplifying 3(-2x + 5) = 11 + -4xy Reorder the terms: 3(5 + -2x) = 11 + -4xy (5 * 3 + -2x * 3) = 11 + -4xy (15 + -6x) = 11 + -4xy Solving 15 + -6x = 11 + -4xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4xy' to each side of the equation. 15 + -6x + 4xy = 11 + -4xy + 4xy Combine like terms: -4xy + 4xy = 0 15 + -6x + 4xy = 11 + 0 15 + -6x + 4xy = 11 Add '-15' to each side of the equation. 15 + -6x + -15 + 4xy = 11 + -15 Reorder the terms: 15 + -15 + -6x + 4xy = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -6x + 4xy = 11 + -15 -6x + 4xy = 11 + -15 Combine like terms: 11 + -15 = -4 -6x + 4xy = -4 Reorder the terms: 4 + -6x + 4xy = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -6x + 4xy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -3x + 2xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -3x + 2xy)' equal to zero and attempt to solve: Simplifying 2 + -3x + 2xy = 0 Solving 2 + -3x + 2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3x + -2 + 2xy = 0 + -2 Reorder the terms: 2 + -2 + -3x + 2xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x + 2xy = 0 + -2 -3x + 2xy = 0 + -2 Combine like terms: 0 + -2 = -2 -3x + 2xy = -2 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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