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Simplifying 6x + -1z = x + 13 Reorder the terms: 6x + -1z = 13 + x Solving 6x + -1z = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6x + -1x + -1z = 13 + x + -1x Combine like terms: 6x + -1x = 5x 5x + -1z = 13 + x + -1x Combine like terms: x + -1x = 0 5x + -1z = 13 + 0 5x + -1z = 13 Add 'z' to each side of the equation. 5x + -1z + z = 13 + z Combine like terms: -1z + z = 0 5x + 0 = 13 + z 5x = 13 + z Divide each side by '5'. x = 2.6 + 0.2z Simplifying x = 2.6 + 0.2z
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