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Simplifying (3x + -2y + 5) + (4x + 6y + -1) = 0 Reorder the terms: (5 + 3x + -2y) + (4x + 6y + -1) = 0 Remove parenthesis around (5 + 3x + -2y) 5 + 3x + -2y + (4x + 6y + -1) = 0 Reorder the terms: 5 + 3x + -2y + (-1 + 4x + 6y) = 0 Remove parenthesis around (-1 + 4x + 6y) 5 + 3x + -2y + -1 + 4x + 6y = 0 Reorder the terms: 5 + -1 + 3x + 4x + -2y + 6y = 0 Combine like terms: 5 + -1 = 4 4 + 3x + 4x + -2y + 6y = 0 Combine like terms: 3x + 4x = 7x 4 + 7x + -2y + 6y = 0 Combine like terms: -2y + 6y = 4y 4 + 7x + 4y = 0 Solving 4 + 7x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 7x + -4 + 4y = 0 + -4 Reorder the terms: 4 + -4 + 7x + 4y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x + 4y = 0 + -4 7x + 4y = 0 + -4 Combine like terms: 0 + -4 = -4 7x + 4y = -4 Add '-4y' to each side of the equation. 7x + 4y + -4y = -4 + -4y Combine like terms: 4y + -4y = 0 7x + 0 = -4 + -4y 7x = -4 + -4y Divide each side by '7'. x = -0.5714285714 + -0.5714285714y Simplifying x = -0.5714285714 + -0.5714285714y
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