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Simplifying 5x + (3x + -3y) + -1(5x + -4y) = 0 Remove parenthesis around (3x + -3y) 5x + 3x + -3y + -1(5x + -4y) = 0 5x + 3x + -3y + (5x * -1 + -4y * -1) = 0 5x + 3x + -3y + (-5x + 4y) = 0 Reorder the terms: 5x + 3x + -5x + -3y + 4y = 0 Combine like terms: 5x + 3x = 8x 8x + -5x + -3y + 4y = 0 Combine like terms: 8x + -5x = 3x 3x + -3y + 4y = 0 Combine like terms: -3y + 4y = 1y 3x + 1y = 0 Solving 3x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 3x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 3x + 0 = 0 + -1y 3x = 0 + -1y Remove the zero: 3x = -1y Divide each side by '3'. x = -0.3333333333y Simplifying x = -0.3333333333y
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