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Simplifying 7x + -54 + z = 8x Reorder the terms: -54 + 7x + z = 8x Solving -54 + 7x + z = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -54 + 7x + -8x + z = 8x + -8x Combine like terms: 7x + -8x = -1x -54 + -1x + z = 8x + -8x Combine like terms: 8x + -8x = 0 -54 + -1x + z = 0 Add '54' to each side of the equation. -54 + -1x + 54 + z = 0 + 54 Reorder the terms: -54 + 54 + -1x + z = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -1x + z = 0 + 54 -1x + z = 0 + 54 Combine like terms: 0 + 54 = 54 -1x + z = 54 Add '-1z' to each side of the equation. -1x + z + -1z = 54 + -1z Combine like terms: z + -1z = 0 -1x + 0 = 54 + -1z -1x = 54 + -1z Divide each side by '-1'. x = -54 + z Simplifying x = -54 + z
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