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Simplifying 2y + -1x = 7 + -3x(2 + 4y) Reorder the terms: -1x + 2y = 7 + -3x(2 + 4y) -1x + 2y = 7 + (2 * -3x + 4y * -3x) -1x + 2y = 7 + (-6x + -12xy) Solving -1x + 2y = 7 + -6x + -12xy 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. -1x + 6x + 2y = 7 + -6x + 6x + -12xy Combine like terms: -1x + 6x = 5x 5x + 2y = 7 + -6x + 6x + -12xy Combine like terms: -6x + 6x = 0 5x + 2y = 7 + 0 + -12xy 5x + 2y = 7 + -12xy Add '12xy' to each side of the equation. 5x + 12xy + 2y = 7 + -12xy + 12xy Combine like terms: -12xy + 12xy = 0 5x + 12xy + 2y = 7 + 0 5x + 12xy + 2y = 7 Add '-2y' to each side of the equation. 5x + 12xy + 2y + -2y = 7 + -2y Combine like terms: 2y + -2y = 0 5x + 12xy + 0 = 7 + -2y 5x + 12xy = 7 + -2y Reorder the terms: -7 + 5x + 12xy + 2y = 7 + -2y + -7 + 2y Reorder the terms: -7 + 5x + 12xy + 2y = 7 + -7 + -2y + 2y Combine like terms: 7 + -7 = 0 -7 + 5x + 12xy + 2y = 0 + -2y + 2y -7 + 5x + 12xy + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -7 + 5x + 12xy + 2y = 0 The solution to this equation could not be determined.
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