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Simplifying 3x + -7 + 4x = 9 + 5x + -6 Reorder the terms: -7 + 3x + 4x = 9 + 5x + -6 Combine like terms: 3x + 4x = 7x -7 + 7x = 9 + 5x + -6 Reorder the terms: -7 + 7x = 9 + -6 + 5x Combine like terms: 9 + -6 = 3 -7 + 7x = 3 + 5x Solving -7 + 7x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 7x + -5x = 3 + 5x + -5x Combine like terms: 7x + -5x = 2x -7 + 2x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 2x = 3 + 0 -7 + 2x = 3 Add '7' to each side of the equation. -7 + 7 + 2x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 3 + 7 2x = 3 + 7 Combine like terms: 3 + 7 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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