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Simplifying (2y + 3x + -7) + (3y + -4x + -4) = 0 Reorder the terms: (-7 + 3x + 2y) + (3y + -4x + -4) = 0 Remove parenthesis around (-7 + 3x + 2y) -7 + 3x + 2y + (3y + -4x + -4) = 0 Reorder the terms: -7 + 3x + 2y + (-4 + -4x + 3y) = 0 Remove parenthesis around (-4 + -4x + 3y) -7 + 3x + 2y + -4 + -4x + 3y = 0 Reorder the terms: -7 + -4 + 3x + -4x + 2y + 3y = 0 Combine like terms: -7 + -4 = -11 -11 + 3x + -4x + 2y + 3y = 0 Combine like terms: 3x + -4x = -1x -11 + -1x + 2y + 3y = 0 Combine like terms: 2y + 3y = 5y -11 + -1x + 5y = 0 Solving -11 + -1x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + -1x + 11 + 5y = 0 + 11 Reorder the terms: -11 + 11 + -1x + 5y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x + 5y = 0 + 11 -1x + 5y = 0 + 11 Combine like terms: 0 + 11 = 11 -1x + 5y = 11 Add '-5y' to each side of the equation. -1x + 5y + -5y = 11 + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = 11 + -5y -1x = 11 + -5y Divide each side by '-1'. x = -11 + 5y Simplifying x = -11 + 5y
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