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Simplifying 4x + -2 + 3x + -7 = 51 Reorder the terms: -2 + -7 + 4x + 3x = 51 Combine like terms: -2 + -7 = -9 -9 + 4x + 3x = 51 Combine like terms: 4x + 3x = 7x -9 + 7x = 51 Solving -9 + 7x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x = 51 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 51 + 9 7x = 51 + 9 Combine like terms: 51 + 9 = 60 7x = 60 Divide each side by '7'. x = 8.571428571 Simplifying x = 8.571428571
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