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Simplifying 3(5x + -2y) + -1(-4x + 3y) = 0 (5x * 3 + -2y * 3) + -1(-4x + 3y) = 0 (15x + -6y) + -1(-4x + 3y) = 0 15x + -6y + (-4x * -1 + 3y * -1) = 0 15x + -6y + (4x + -3y) = 0 Reorder the terms: 15x + 4x + -6y + -3y = 0 Combine like terms: 15x + 4x = 19x 19x + -6y + -3y = 0 Combine like terms: -6y + -3y = -9y 19x + -9y = 0 Solving 19x + -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. 19x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 19x + 0 = 0 + 9y 19x = 0 + 9y Remove the zero: 19x = 9y Divide each side by '19'. x = 0.4736842105y Simplifying x = 0.4736842105y
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