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Simplifying 5x + -1y = 8x + z Solving 5x + -1y = 8x + z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5x + -8x + -1y = 8x + -8x + z Combine like terms: 5x + -8x = -3x -3x + -1y = 8x + -8x + z Combine like terms: 8x + -8x = 0 -3x + -1y = 0 + z -3x + -1y = z Add 'y' to each side of the equation. -3x + -1y + y = y + z Combine like terms: -1y + y = 0 -3x + 0 = y + z -3x = y + z Divide each side by '-3'. x = -0.3333333333y + -0.3333333333z Simplifying x = -0.3333333333y + -0.3333333333z
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