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