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Simplifying (x * 2 + 6 + -7) * 2y + 7 = 34x + -1 Reorder the terms for easier multiplication: (2x + 6 + -7) * 2y + 7 = 34x + -1 Reorder the terms: (6 + -7 + 2x) * 2y + 7 = 34x + -1 Combine like terms: 6 + -7 = -1 (-1 + 2x) * 2y + 7 = 34x + -1 Reorder the terms for easier multiplication: 2y(-1 + 2x) + 7 = 34x + -1 (-1 * 2y + 2x * 2y) + 7 = 34x + -1 Reorder the terms: (4xy + -2y) + 7 = 34x + -1 (4xy + -2y) + 7 = 34x + -1 Reorder the terms: 7 + 4xy + -2y = 34x + -1 Reorder the terms: 7 + 4xy + -2y = -1 + 34x Solving 7 + 4xy + -2y = -1 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 7 + 4xy + -34x + -2y = -1 + 34x + -34x Reorder the terms: 7 + -34x + 4xy + -2y = -1 + 34x + -34x Combine like terms: 34x + -34x = 0 7 + -34x + 4xy + -2y = -1 + 0 7 + -34x + 4xy + -2y = -1 Add '-7' to each side of the equation. 7 + -34x + 4xy + -7 + -2y = -1 + -7 Reorder the terms: 7 + -7 + -34x + 4xy + -2y = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -34x + 4xy + -2y = -1 + -7 -34x + 4xy + -2y = -1 + -7 Combine like terms: -1 + -7 = -8 -34x + 4xy + -2y = -8 Add '2y' to each side of the equation. -34x + 4xy + -2y + 2y = -8 + 2y Combine like terms: -2y + 2y = 0 -34x + 4xy + 0 = -8 + 2y -34x + 4xy = -8 + 2y Reorder the terms: 8 + -34x + 4xy + -2y = -8 + 2y + 8 + -2y Reorder the terms: 8 + -34x + 4xy + -2y = -8 + 8 + 2y + -2y Combine like terms: -8 + 8 = 0 8 + -34x + 4xy + -2y = 0 + 2y + -2y 8 + -34x + 4xy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 8 + -34x + 4xy + -2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -17x + 2xy + -1y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -17x + 2xy + -1y)' equal to zero and attempt to solve: Simplifying 4 + -17x + 2xy + -1y = 0 Solving 4 + -17x + 2xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -17x + 2xy + -4 + -1y = 0 + -4 Reorder the terms: 4 + -4 + -17x + 2xy + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -17x + 2xy + -1y = 0 + -4 -17x + 2xy + -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -17x + 2xy + -1y = -4 Add 'y' to each side of the equation. -17x + 2xy + -1y + y = -4 + y Combine like terms: -1y + y = 0 -17x + 2xy + 0 = -4 + y -17x + 2xy = -4 + y 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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