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Simplifying 6x + 54 = 5x + 61 Reorder the terms: 54 + 6x = 5x + 61 Reorder the terms: 54 + 6x = 61 + 5x Solving 54 + 6x = 61 + 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 + 6x + -5x = 61 + 5x + -5x Combine like terms: 6x + -5x = 1x 54 + 1x = 61 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + 1x = 61 + 0 54 + 1x = 61 Add '-54' to each side of the equation. 54 + -54 + 1x = 61 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = 61 + -54 1x = 61 + -54 Combine like terms: 61 + -54 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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