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Simplifying (3x + 2y) + (5x + -4y) + -1(3x + 4y) = 0 Remove parenthesis around (3x + 2y) 3x + 2y + (5x + -4y) + -1(3x + 4y) = 0 Remove parenthesis around (5x + -4y) 3x + 2y + 5x + -4y + -1(3x + 4y) = 0 3x + 2y + 5x + -4y + (3x * -1 + 4y * -1) = 0 3x + 2y + 5x + -4y + (-3x + -4y) = 0 Reorder the terms: 3x + 5x + -3x + 2y + -4y + -4y = 0 Combine like terms: 3x + 5x = 8x 8x + -3x + 2y + -4y + -4y = 0 Combine like terms: 8x + -3x = 5x 5x + 2y + -4y + -4y = 0 Combine like terms: 2y + -4y = -2y 5x + -2y + -4y = 0 Combine like terms: -2y + -4y = -6y 5x + -6y = 0 Solving 5x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 5x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 5x + 0 = 0 + 6y 5x = 0 + 6y Remove the zero: 5x = 6y Divide each side by '5'. x = 1.2y Simplifying x = 1.2y
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