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Simplifying 5xy + -2 = 7xy + -10 + 6x Reorder the terms: -2 + 5xy = 7xy + -10 + 6x Reorder the terms: -2 + 5xy = -10 + 6x + 7xy Solving -2 + 5xy = -10 + 6x + 7xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + -6x + 5xy = -10 + 6x + -6x + 7xy Combine like terms: 6x + -6x = 0 -2 + -6x + 5xy = -10 + 0 + 7xy -2 + -6x + 5xy = -10 + 7xy Add '-7xy' to each side of the equation. -2 + -6x + 5xy + -7xy = -10 + 7xy + -7xy Combine like terms: 5xy + -7xy = -2xy -2 + -6x + -2xy = -10 + 7xy + -7xy Combine like terms: 7xy + -7xy = 0 -2 + -6x + -2xy = -10 + 0 -2 + -6x + -2xy = -10 Add '2' to each side of the equation. -2 + -6x + 2 + -2xy = -10 + 2 Reorder the terms: -2 + 2 + -6x + -2xy = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -6x + -2xy = -10 + 2 -6x + -2xy = -10 + 2 Combine like terms: -10 + 2 = -8 -6x + -2xy = -8 Reorder the terms: 8 + -6x + -2xy = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -6x + -2xy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -3x + -1xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -3x + -1xy)' equal to zero and attempt to solve: Simplifying 4 + -3x + -1xy = 0 Solving 4 + -3x + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3x + -4 + -1xy = 0 + -4 Reorder the terms: 4 + -4 + -3x + -1xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x + -1xy = 0 + -4 -3x + -1xy = 0 + -4 Combine like terms: 0 + -4 = -4 -3x + -1xy = -4 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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