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Simplifying (7x + -54) + y = 8x Reorder the terms: (-54 + 7x) + y = 8x Remove parenthesis around (-54 + 7x) -54 + 7x + y = 8x Solving -54 + 7x + y = 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 + y = 8x + -8x Combine like terms: 7x + -8x = -1x -54 + -1x + y = 8x + -8x Combine like terms: 8x + -8x = 0 -54 + -1x + y = 0 Add '54' to each side of the equation. -54 + -1x + 54 + y = 0 + 54 Reorder the terms: -54 + 54 + -1x + y = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -1x + y = 0 + 54 -1x + y = 0 + 54 Combine like terms: 0 + 54 = 54 -1x + y = 54 Add '-1y' to each side of the equation. -1x + y + -1y = 54 + -1y Combine like terms: y + -1y = 0 -1x + 0 = 54 + -1y -1x = 54 + -1y Divide each side by '-1'. x = -54 + y Simplifying x = -54 + y
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