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