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Simplifying 3x + -5 + 4x + 7 = 51 Reorder the terms: -5 + 7 + 3x + 4x = 51 Combine like terms: -5 + 7 = 2 2 + 3x + 4x = 51 Combine like terms: 3x + 4x = 7x 2 + 7x = 51 Solving 2 + 7x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 51 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 51 + -2 7x = 51 + -2 Combine like terms: 51 + -2 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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