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Simplifying 3(x + 7y) + -5(x + 7y) + 9(x + 7y) = 0 (x * 3 + 7y * 3) + -5(x + 7y) + 9(x + 7y) = 0 (3x + 21y) + -5(x + 7y) + 9(x + 7y) = 0 3x + 21y + (x * -5 + 7y * -5) + 9(x + 7y) = 0 3x + 21y + (-5x + -35y) + 9(x + 7y) = 0 3x + 21y + -5x + -35y + (x * 9 + 7y * 9) = 0 3x + 21y + -5x + -35y + (9x + 63y) = 0 Reorder the terms: 3x + -5x + 9x + 21y + -35y + 63y = 0 Combine like terms: 3x + -5x = -2x -2x + 9x + 21y + -35y + 63y = 0 Combine like terms: -2x + 9x = 7x 7x + 21y + -35y + 63y = 0 Combine like terms: 21y + -35y = -14y 7x + -14y + 63y = 0 Combine like terms: -14y + 63y = 49y 7x + 49y = 0 Solving 7x + 49y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49y' to each side of the equation. 7x + 49y + -49y = 0 + -49y Combine like terms: 49y + -49y = 0 7x + 0 = 0 + -49y 7x = 0 + -49y Remove the zero: 7x = -49y Divide each side by '7'. x = -7y Simplifying x = -7y
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