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Simplifying (3x + -2y + 4) + (-6x + y + -5) = 0 Reorder the terms: (4 + 3x + -2y) + (-6x + y + -5) = 0 Remove parenthesis around (4 + 3x + -2y) 4 + 3x + -2y + (-6x + y + -5) = 0 Reorder the terms: 4 + 3x + -2y + (-5 + -6x + y) = 0 Remove parenthesis around (-5 + -6x + y) 4 + 3x + -2y + -5 + -6x + y = 0 Reorder the terms: 4 + -5 + 3x + -6x + -2y + y = 0 Combine like terms: 4 + -5 = -1 -1 + 3x + -6x + -2y + y = 0 Combine like terms: 3x + -6x = -3x -1 + -3x + -2y + y = 0 Combine like terms: -2y + y = -1y -1 + -3x + -1y = 0 Solving -1 + -3x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3x + 1 + -1y = 0 + 1 Reorder the terms: -1 + 1 + -3x + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x + -1y = 0 + 1 -3x + -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -3x + -1y = 1 Add 'y' to each side of the equation. -3x + -1y + y = 1 + y Combine like terms: -1y + y = 0 -3x + 0 = 1 + y -3x = 1 + y Divide each side by '-3'. x = -0.3333333333 + -0.3333333333y Simplifying x = -0.3333333333 + -0.3333333333y
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