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Simplifying 7(x + 3y) + -4(x + -2y) = 0 (x * 7 + 3y * 7) + -4(x + -2y) = 0 (7x + 21y) + -4(x + -2y) = 0 7x + 21y + (x * -4 + -2y * -4) = 0 7x + 21y + (-4x + 8y) = 0 Reorder the terms: 7x + -4x + 21y + 8y = 0 Combine like terms: 7x + -4x = 3x 3x + 21y + 8y = 0 Combine like terms: 21y + 8y = 29y 3x + 29y = 0 Solving 3x + 29y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29y' to each side of the equation. 3x + 29y + -29y = 0 + -29y Combine like terms: 29y + -29y = 0 3x + 0 = 0 + -29y 3x = 0 + -29y Remove the zero: 3x = -29y Divide each side by '3'. x = -9.666666667y Simplifying x = -9.666666667y
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