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Simplifying (3x + 6y) + -1(4x + -3y) = 0 Remove parenthesis around (3x + 6y) 3x + 6y + -1(4x + -3y) = 0 3x + 6y + (4x * -1 + -3y * -1) = 0 3x + 6y + (-4x + 3y) = 0 Reorder the terms: 3x + -4x + 6y + 3y = 0 Combine like terms: 3x + -4x = -1x -1x + 6y + 3y = 0 Combine like terms: 6y + 3y = 9y -1x + 9y = 0 Solving -1x + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. -1x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 -1x + 0 = 0 + -9y -1x = 0 + -9y Remove the zero: -1x = -9y Divide each side by '-1'. x = 9y Simplifying x = 9y
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