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Simplifying 3(2x + -5y) + (4y + -3x) = 0 (2x * 3 + -5y * 3) + (4y + -3x) = 0 (6x + -15y) + (4y + -3x) = 0 Reorder the terms: 6x + -15y + (-3x + 4y) = 0 Remove parenthesis around (-3x + 4y) 6x + -15y + -3x + 4y = 0 Reorder the terms: 6x + -3x + -15y + 4y = 0 Combine like terms: 6x + -3x = 3x 3x + -15y + 4y = 0 Combine like terms: -15y + 4y = -11y 3x + -11y = 0 Solving 3x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 3x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 3x + 0 = 0 + 11y 3x = 0 + 11y Remove the zero: 3x = 11y Divide each side by '3'. x = 3.666666667y Simplifying x = 3.666666667y
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