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Simplifying 2x(y + -7) = 2x + -14 Reorder the terms: 2x(-7 + y) = 2x + -14 (-7 * 2x + y * 2x) = 2x + -14 (-14x + 2xy) = 2x + -14 Reorder the terms: -14x + 2xy = -14 + 2x Solving -14x + 2xy = -14 + 2x 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. -14x + -2x + 2xy = -14 + 2x + -2x Combine like terms: -14x + -2x = -16x -16x + 2xy = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -16x + 2xy = -14 + 0 -16x + 2xy = -14 Reorder the terms: 14 + -16x + 2xy = -14 + 14 Combine like terms: -14 + 14 = 0 14 + -16x + 2xy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + -8x + xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -8x + xy)' equal to zero and attempt to solve: Simplifying 7 + -8x + xy = 0 Solving 7 + -8x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -8x + -7 + xy = 0 + -7 Reorder the terms: 7 + -7 + -8x + xy = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x + xy = 0 + -7 -8x + xy = 0 + -7 Combine like terms: 0 + -7 = -7 -8x + xy = -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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