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Simplifying (3x + -4y + 6) + (5x + -2y + -4) = 0 Reorder the terms: (6 + 3x + -4y) + (5x + -2y + -4) = 0 Remove parenthesis around (6 + 3x + -4y) 6 + 3x + -4y + (5x + -2y + -4) = 0 Reorder the terms: 6 + 3x + -4y + (-4 + 5x + -2y) = 0 Remove parenthesis around (-4 + 5x + -2y) 6 + 3x + -4y + -4 + 5x + -2y = 0 Reorder the terms: 6 + -4 + 3x + 5x + -4y + -2y = 0 Combine like terms: 6 + -4 = 2 2 + 3x + 5x + -4y + -2y = 0 Combine like terms: 3x + 5x = 8x 2 + 8x + -4y + -2y = 0 Combine like terms: -4y + -2y = -6y 2 + 8x + -6y = 0 Solving 2 + 8x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 8x + -2 + -6y = 0 + -2 Reorder the terms: 2 + -2 + 8x + -6y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8x + -6y = 0 + -2 8x + -6y = 0 + -2 Combine like terms: 0 + -2 = -2 8x + -6y = -2 Add '6y' to each side of the equation. 8x + -6y + 6y = -2 + 6y Combine like terms: -6y + 6y = 0 8x + 0 = -2 + 6y 8x = -2 + 6y Divide each side by '8'. x = -0.25 + 0.75y Simplifying x = -0.25 + 0.75y
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