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Simplifying 3x + -9 + 4x = 3 + 5x + 4 Reorder the terms: -9 + 3x + 4x = 3 + 5x + 4 Combine like terms: 3x + 4x = 7x -9 + 7x = 3 + 5x + 4 Reorder the terms: -9 + 7x = 3 + 4 + 5x Combine like terms: 3 + 4 = 7 -9 + 7x = 7 + 5x Solving -9 + 7x = 7 + 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. -9 + 7x + -5x = 7 + 5x + -5x Combine like terms: 7x + -5x = 2x -9 + 2x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 2x = 7 + 0 -9 + 2x = 7 Add '9' to each side of the equation. -9 + 9 + 2x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 7 + 9 2x = 7 + 9 Combine like terms: 7 + 9 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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