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Simplifying 4x + 14 + 3x + 16 = 51 Reorder the terms: 14 + 16 + 4x + 3x = 51 Combine like terms: 14 + 16 = 30 30 + 4x + 3x = 51 Combine like terms: 4x + 3x = 7x 30 + 7x = 51 Solving 30 + 7x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7x = 51 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 51 + -30 7x = 51 + -30 Combine like terms: 51 + -30 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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