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Simplifying (3x + -5y) + -4(x + -3y) = 0 Remove parenthesis around (3x + -5y) 3x + -5y + -4(x + -3y) = 0 3x + -5y + (x * -4 + -3y * -4) = 0 3x + -5y + (-4x + 12y) = 0 Reorder the terms: 3x + -4x + -5y + 12y = 0 Combine like terms: 3x + -4x = -1x -1x + -5y + 12y = 0 Combine like terms: -5y + 12y = 7y -1x + 7y = 0 Solving -1x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -1x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 -1x + 0 = 0 + -7y -1x = 0 + -7y Remove the zero: -1x = -7y Divide each side by '-1'. x = 7y Simplifying x = 7y
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