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Simplifying z + 8 + 5x = 32 + -2x Reorder the terms: 8 + 5x + z = 32 + -2x Solving 8 + 5x + z = 32 + -2x 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. 8 + 5x + 2x + z = 32 + -2x + 2x Combine like terms: 5x + 2x = 7x 8 + 7x + z = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 7x + z = 32 + 0 8 + 7x + z = 32 Add '-8' to each side of the equation. 8 + 7x + -8 + z = 32 + -8 Reorder the terms: 8 + -8 + 7x + z = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 7x + z = 32 + -8 7x + z = 32 + -8 Combine like terms: 32 + -8 = 24 7x + z = 24 Add '-1z' to each side of the equation. 7x + z + -1z = 24 + -1z Combine like terms: z + -1z = 0 7x + 0 = 24 + -1z 7x = 24 + -1z Divide each side by '7'. x = 3.428571429 + -0.1428571429z Simplifying x = 3.428571429 + -0.1428571429z
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