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Simplifying 7(3x + -11y) + 2x + -5(x + -6y) = 0 (3x * 7 + -11y * 7) + 2x + -5(x + -6y) = 0 (21x + -77y) + 2x + -5(x + -6y) = 0 21x + -77y + 2x + (x * -5 + -6y * -5) = 0 21x + -77y + 2x + (-5x + 30y) = 0 Reorder the terms: 21x + 2x + -5x + -77y + 30y = 0 Combine like terms: 21x + 2x = 23x 23x + -5x + -77y + 30y = 0 Combine like terms: 23x + -5x = 18x 18x + -77y + 30y = 0 Combine like terms: -77y + 30y = -47y 18x + -47y = 0 Solving 18x + -47y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47y' to each side of the equation. 18x + -47y + 47y = 0 + 47y Combine like terms: -47y + 47y = 0 18x + 0 = 0 + 47y 18x = 0 + 47y Remove the zero: 18x = 47y Divide each side by '18'. x = 2.611111111y Simplifying x = 2.611111111y
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