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Simplifying (x2 + 3xy + -7) + -1(x2 + -2xy + 4) = 2x + xy + 3 Reorder the terms: (-7 + 3xy + x2) + -1(x2 + -2xy + 4) = 2x + xy + 3 Remove parenthesis around (-7 + 3xy + x2) -7 + 3xy + x2 + -1(x2 + -2xy + 4) = 2x + xy + 3 Reorder the terms: -7 + 3xy + x2 + -1(4 + -2xy + x2) = 2x + xy + 3 -7 + 3xy + x2 + (4 * -1 + -2xy * -1 + x2 * -1) = 2x + xy + 3 -7 + 3xy + x2 + (-4 + 2xy + -1x2) = 2x + xy + 3 Reorder the terms: -7 + -4 + 3xy + 2xy + x2 + -1x2 = 2x + xy + 3 Combine like terms: -7 + -4 = -11 -11 + 3xy + 2xy + x2 + -1x2 = 2x + xy + 3 Combine like terms: 3xy + 2xy = 5xy -11 + 5xy + x2 + -1x2 = 2x + xy + 3 Combine like terms: x2 + -1x2 = 0 -11 + 5xy + 0 = 2x + xy + 3 -11 + 5xy = 2x + xy + 3 Reorder the terms: -11 + 5xy = 3 + 2x + xy Solving -11 + 5xy = 3 + 2x + xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -11 + -2x + 5xy = 3 + 2x + -2x + xy Combine like terms: 2x + -2x = 0 -11 + -2x + 5xy = 3 + 0 + xy -11 + -2x + 5xy = 3 + xy Add '-1xy' to each side of the equation. -11 + -2x + 5xy + -1xy = 3 + xy + -1xy Combine like terms: 5xy + -1xy = 4xy -11 + -2x + 4xy = 3 + xy + -1xy Combine like terms: xy + -1xy = 0 -11 + -2x + 4xy = 3 + 0 -11 + -2x + 4xy = 3 Add '11' to each side of the equation. -11 + -2x + 11 + 4xy = 3 + 11 Reorder the terms: -11 + 11 + -2x + 4xy = 3 + 11 Combine like terms: -11 + 11 = 0 0 + -2x + 4xy = 3 + 11 -2x + 4xy = 3 + 11 Combine like terms: 3 + 11 = 14 -2x + 4xy = 14 Reorder the terms: -14 + -2x + 4xy = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -2x + 4xy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + -1x + 2xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -1x + 2xy)' equal to zero and attempt to solve: Simplifying -7 + -1x + 2xy = 0 Solving -7 + -1x + 2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -1x + 7 + 2xy = 0 + 7 Reorder the terms: -7 + 7 + -1x + 2xy = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x + 2xy = 0 + 7 -1x + 2xy = 0 + 7 Combine like terms: 0 + 7 = 7 -1x + 2xy = 7 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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