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Simplifying 12x + 54 = 10x + 60 Reorder the terms: 54 + 12x = 10x + 60 Reorder the terms: 54 + 12x = 60 + 10x Solving 54 + 12x = 60 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 54 + 12x + -10x = 60 + 10x + -10x Combine like terms: 12x + -10x = 2x 54 + 2x = 60 + 10x + -10x Combine like terms: 10x + -10x = 0 54 + 2x = 60 + 0 54 + 2x = 60 Add '-54' to each side of the equation. 54 + -54 + 2x = 60 + -54 Combine like terms: 54 + -54 = 0 0 + 2x = 60 + -54 2x = 60 + -54 Combine like terms: 60 + -54 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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