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Simplifying 7x + 9y + 17z = 19y + 13x + 4z Reorder the terms: 7x + 9y + 17z = 13x + 19y + 4z Solving 7x + 9y + 17z = 13x + 19y + 4z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 7x + 9y + -13x + 17z = 13x + 19y + -13x + 4z Reorder the terms: 7x + -13x + 9y + 17z = 13x + 19y + -13x + 4z Combine like terms: 7x + -13x = -6x -6x + 9y + 17z = 13x + 19y + -13x + 4z Reorder the terms: -6x + 9y + 17z = 13x + -13x + 19y + 4z Combine like terms: 13x + -13x = 0 -6x + 9y + 17z = 0 + 19y + 4z -6x + 9y + 17z = 19y + 4z Add '-9y' to each side of the equation. -6x + 9y + -9y + 17z = 19y + -9y + 4z Combine like terms: 9y + -9y = 0 -6x + 0 + 17z = 19y + -9y + 4z -6x + 17z = 19y + -9y + 4z Combine like terms: 19y + -9y = 10y -6x + 17z = 10y + 4z Add '-17z' to each side of the equation. -6x + 17z + -17z = 10y + 4z + -17z Combine like terms: 17z + -17z = 0 -6x + 0 = 10y + 4z + -17z -6x = 10y + 4z + -17z Combine like terms: 4z + -17z = -13z -6x = 10y + -13z Divide each side by '-6'. x = -1.666666667y + 2.166666667z Simplifying x = -1.666666667y + 2.166666667z
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