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Simplifying 3(4x + -5y) + -2(7x + 3y) = 0 (4x * 3 + -5y * 3) + -2(7x + 3y) = 0 (12x + -15y) + -2(7x + 3y) = 0 12x + -15y + (7x * -2 + 3y * -2) = 0 12x + -15y + (-14x + -6y) = 0 Reorder the terms: 12x + -14x + -15y + -6y = 0 Combine like terms: 12x + -14x = -2x -2x + -15y + -6y = 0 Combine like terms: -15y + -6y = -21y -2x + -21y = 0 Solving -2x + -21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21y' to each side of the equation. -2x + -21y + 21y = 0 + 21y Combine like terms: -21y + 21y = 0 -2x + 0 = 0 + 21y -2x = 0 + 21y Remove the zero: -2x = 21y Divide each side by '-2'. x = -10.5y Simplifying x = -10.5y
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