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Simplifying -3(2x + 7y) + -1(2y + -3x) = 0 (2x * -3 + 7y * -3) + -1(2y + -3x) = 0 (-6x + -21y) + -1(2y + -3x) = 0 Reorder the terms: -6x + -21y + -1(-3x + 2y) = 0 -6x + -21y + (-3x * -1 + 2y * -1) = 0 -6x + -21y + (3x + -2y) = 0 Reorder the terms: -6x + 3x + -21y + -2y = 0 Combine like terms: -6x + 3x = -3x -3x + -21y + -2y = 0 Combine like terms: -21y + -2y = -23y -3x + -23y = 0 Solving -3x + -23y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23y' to each side of the equation. -3x + -23y + 23y = 0 + 23y Combine like terms: -23y + 23y = 0 -3x + 0 = 0 + 23y -3x = 0 + 23y Remove the zero: -3x = 23y Divide each side by '-3'. x = -7.666666667y Simplifying x = -7.666666667y
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