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Simplifying 23x + 12 = 16x + 51 Reorder the terms: 12 + 23x = 16x + 51 Reorder the terms: 12 + 23x = 51 + 16x Solving 12 + 23x = 51 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + 23x + -16x = 51 + 16x + -16x Combine like terms: 23x + -16x = 7x 12 + 7x = 51 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + 7x = 51 + 0 12 + 7x = 51 Add '-12' to each side of the equation. 12 + -12 + 7x = 51 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 51 + -12 7x = 51 + -12 Combine like terms: 51 + -12 = 39 7x = 39 Divide each side by '7'. x = 5.571428571 Simplifying x = 5.571428571
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