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Simplifying 8x + -1z = 2x + 3z Solving 8x + -1z = 2x + 3z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8x + -2x + -1z = 2x + -2x + 3z Combine like terms: 8x + -2x = 6x 6x + -1z = 2x + -2x + 3z Combine like terms: 2x + -2x = 0 6x + -1z = 0 + 3z 6x + -1z = 3z Add 'z' to each side of the equation. 6x + -1z + z = 3z + z Combine like terms: -1z + z = 0 6x + 0 = 3z + z 6x = 3z + z Combine like terms: 3z + z = 4z 6x = 4z Divide each side by '6'. x = 0.6666666667z Simplifying x = 0.6666666667z
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