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