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Simplifying (4x + -3y) + -1(3x + -5y) = 0 Remove parenthesis around (4x + -3y) 4x + -3y + -1(3x + -5y) = 0 4x + -3y + (3x * -1 + -5y * -1) = 0 4x + -3y + (-3x + 5y) = 0 Reorder the terms: 4x + -3x + -3y + 5y = 0 Combine like terms: 4x + -3x = 1x 1x + -3y + 5y = 0 Combine like terms: -3y + 5y = 2y 1x + 2y = 0 Solving 1x + 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. 1x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 1x + 0 = 0 + -2y 1x = 0 + -2y Remove the zero: 1x = -2y Divide each side by '1'. x = -2y Simplifying x = -2y
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