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Simplifying 6x + -6z + 25 = 5y + -9x + 4z Reorder the terms: 25 + 6x + -6z = 5y + -9x + 4z Reorder the terms: 25 + 6x + -6z = -9x + 5y + 4z Solving 25 + 6x + -6z = -9x + 5y + 4z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 25 + 6x + 9x + -6z = -9x + 5y + 9x + 4z Combine like terms: 6x + 9x = 15x 25 + 15x + -6z = -9x + 5y + 9x + 4z Reorder the terms: 25 + 15x + -6z = -9x + 9x + 5y + 4z Combine like terms: -9x + 9x = 0 25 + 15x + -6z = 0 + 5y + 4z 25 + 15x + -6z = 5y + 4z Add '-25' to each side of the equation. 25 + 15x + -25 + -6z = 5y + -25 + 4z Reorder the terms: 25 + -25 + 15x + -6z = 5y + -25 + 4z Combine like terms: 25 + -25 = 0 0 + 15x + -6z = 5y + -25 + 4z 15x + -6z = 5y + -25 + 4z Reorder the terms: 15x + -6z = -25 + 5y + 4z Add '6z' to each side of the equation. 15x + -6z + 6z = -25 + 5y + 4z + 6z Combine like terms: -6z + 6z = 0 15x + 0 = -25 + 5y + 4z + 6z 15x = -25 + 5y + 4z + 6z Combine like terms: 4z + 6z = 10z 15x = -25 + 5y + 10z Divide each side by '15'. x = -1.666666667 + 0.3333333333y + 0.6666666667z Simplifying x = -1.666666667 + 0.3333333333y + 0.6666666667z
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