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Simplifying (4x + -7y) + -1(x + -3y) = 0 Remove parenthesis around (4x + -7y) 4x + -7y + -1(x + -3y) = 0 4x + -7y + (x * -1 + -3y * -1) = 0 4x + -7y + (-1x + 3y) = 0 Reorder the terms: 4x + -1x + -7y + 3y = 0 Combine like terms: 4x + -1x = 3x 3x + -7y + 3y = 0 Combine like terms: -7y + 3y = -4y 3x + -4y = 0 Solving 3x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 3x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 3x + 0 = 0 + 4y 3x = 0 + 4y Remove the zero: 3x = 4y Divide each side by '3'. x = 1.333333333y Simplifying x = 1.333333333y
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