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Simplifying 12x + 23 = 7x + 78 Reorder the terms: 23 + 12x = 7x + 78 Reorder the terms: 23 + 12x = 78 + 7x Solving 23 + 12x = 78 + 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. 23 + 12x + -7x = 78 + 7x + -7x Combine like terms: 12x + -7x = 5x 23 + 5x = 78 + 7x + -7x Combine like terms: 7x + -7x = 0 23 + 5x = 78 + 0 23 + 5x = 78 Add '-23' to each side of the equation. 23 + -23 + 5x = 78 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 78 + -23 5x = 78 + -23 Combine like terms: 78 + -23 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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