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Simplifying 8x + -9y + 2z + -8z + 5x + -12y + 7 = 0 Reorder the terms: 7 + 8x + 5x + -9y + -12y + 2z + -8z = 0 Combine like terms: 8x + 5x = 13x 7 + 13x + -9y + -12y + 2z + -8z = 0 Combine like terms: -9y + -12y = -21y 7 + 13x + -21y + 2z + -8z = 0 Combine like terms: 2z + -8z = -6z 7 + 13x + -21y + -6z = 0 Solving 7 + 13x + -21y + -6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 13x + -21y + -7 + -6z = 0 + -7 Reorder the terms: 7 + -7 + 13x + -21y + -6z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 13x + -21y + -6z = 0 + -7 13x + -21y + -6z = 0 + -7 Combine like terms: 0 + -7 = -7 13x + -21y + -6z = -7 Add '21y' to each side of the equation. 13x + -21y + 21y + -6z = -7 + 21y Combine like terms: -21y + 21y = 0 13x + 0 + -6z = -7 + 21y 13x + -6z = -7 + 21y Add '6z' to each side of the equation. 13x + -6z + 6z = -7 + 21y + 6z Combine like terms: -6z + 6z = 0 13x + 0 = -7 + 21y + 6z 13x = -7 + 21y + 6z Divide each side by '13'. x = -0.5384615385 + 1.615384615y + 0.4615384615z Simplifying x = -0.5384615385 + 1.615384615y + 0.4615384615z
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