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Simplifying 12x + 54 = 5x + 5 Reorder the terms: 54 + 12x = 5x + 5 Reorder the terms: 54 + 12x = 5 + 5x Solving 54 + 12x = 5 + 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 = 5 + 5x + -5x Combine like terms: 12x + -5x = 7x 54 + 7x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + 7x = 5 + 0 54 + 7x = 5 Add '-54' to each side of the equation. 54 + -54 + 7x = 5 + -54 Combine like terms: 54 + -54 = 0 0 + 7x = 5 + -54 7x = 5 + -54 Combine like terms: 5 + -54 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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