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Simplifying 7(x + -2y) + -3(2x + y) = 0 (x * 7 + -2y * 7) + -3(2x + y) = 0 (7x + -14y) + -3(2x + y) = 0 7x + -14y + (2x * -3 + y * -3) = 0 7x + -14y + (-6x + -3y) = 0 Reorder the terms: 7x + -6x + -14y + -3y = 0 Combine like terms: 7x + -6x = 1x 1x + -14y + -3y = 0 Combine like terms: -14y + -3y = -17y 1x + -17y = 0 Solving 1x + -17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17y' to each side of the equation. 1x + -17y + 17y = 0 + 17y Combine like terms: -17y + 17y = 0 1x + 0 = 0 + 17y 1x = 0 + 17y Remove the zero: 1x = 17y Divide each side by '1'. x = 17y Simplifying x = 17y
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