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Simplifying 12x + -54 = 51 + 5x Reorder the terms: -54 + 12x = 51 + 5x Solving -54 + 12x = 51 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -54 + 12x + -5x = 51 + 5x + -5x Combine like terms: 12x + -5x = 7x -54 + 7x = 51 + 5x + -5x Combine like terms: 5x + -5x = 0 -54 + 7x = 51 + 0 -54 + 7x = 51 Add '54' to each side of the equation. -54 + 54 + 7x = 51 + 54 Combine like terms: -54 + 54 = 0 0 + 7x = 51 + 54 7x = 51 + 54 Combine like terms: 51 + 54 = 105 7x = 105 Divide each side by '7'. x = 15 Simplifying x = 15
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