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Simplifying 12x + -54 = 71 + 7x Reorder the terms: -54 + 12x = 71 + 7x Solving -54 + 12x = 71 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -54 + 12x + -7x = 71 + 7x + -7x Combine like terms: 12x + -7x = 5x -54 + 5x = 71 + 7x + -7x Combine like terms: 7x + -7x = 0 -54 + 5x = 71 + 0 -54 + 5x = 71 Add '54' to each side of the equation. -54 + 54 + 5x = 71 + 54 Combine like terms: -54 + 54 = 0 0 + 5x = 71 + 54 5x = 71 + 54 Combine like terms: 71 + 54 = 125 5x = 125 Divide each side by '5'. x = 25 Simplifying x = 25
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