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Simplifying 5x + 7 + -1z = 5 Reorder the terms: 7 + 5x + -1z = 5 Solving 7 + 5x + -1z = 5 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 + 5x + -7 + -1z = 5 + -7 Reorder the terms: 7 + -7 + 5x + -1z = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 5x + -1z = 5 + -7 5x + -1z = 5 + -7 Combine like terms: 5 + -7 = -2 5x + -1z = -2 Add 'z' to each side of the equation. 5x + -1z + z = -2 + z Combine like terms: -1z + z = 0 5x + 0 = -2 + z 5x = -2 + z Divide each side by '5'. x = -0.4 + 0.2z Simplifying x = -0.4 + 0.2z
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