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Simplifying (4x + -3y) + 3(3x + -2y) = 0 Remove parenthesis around (4x + -3y) 4x + -3y + 3(3x + -2y) = 0 4x + -3y + (3x * 3 + -2y * 3) = 0 4x + -3y + (9x + -6y) = 0 Reorder the terms: 4x + 9x + -3y + -6y = 0 Combine like terms: 4x + 9x = 13x 13x + -3y + -6y = 0 Combine like terms: -3y + -6y = -9y 13x + -9y = 0 Solving 13x + -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. 13x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 13x + 0 = 0 + 9y 13x = 0 + 9y Remove the zero: 13x = 9y Divide each side by '13'. x = 0.6923076923y Simplifying x = 0.6923076923y
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