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Simplifying 5x + 3z = 8 + -1x Solving 5x + 3z = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5x + x + 3z = 8 + -1x + x Combine like terms: 5x + x = 6x 6x + 3z = 8 + -1x + x Combine like terms: -1x + x = 0 6x + 3z = 8 + 0 6x + 3z = 8 Add '-3z' to each side of the equation. 6x + 3z + -3z = 8 + -3z Combine like terms: 3z + -3z = 0 6x + 0 = 8 + -3z 6x = 8 + -3z Divide each side by '6'. x = 1.333333333 + -0.5z Simplifying x = 1.333333333 + -0.5z
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