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Simplifying (5y + -3x) + (2x + 7y) = 0 Reorder the terms: (-3x + 5y) + (2x + 7y) = 0 Remove parenthesis around (-3x + 5y) -3x + 5y + (2x + 7y) = 0 Remove parenthesis around (2x + 7y) -3x + 5y + 2x + 7y = 0 Reorder the terms: -3x + 2x + 5y + 7y = 0 Combine like terms: -3x + 2x = -1x -1x + 5y + 7y = 0 Combine like terms: 5y + 7y = 12y -1x + 12y = 0 Solving -1x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. -1x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 -1x + 0 = 0 + -12y -1x = 0 + -12y Remove the zero: -1x = -12y Divide each side by '-1'. x = 12y Simplifying x = 12y
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