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