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Simplifying 4x + 9 + x = 6 + 3x + 1 Reorder the terms: 9 + 4x + x = 6 + 3x + 1 Combine like terms: 4x + x = 5x 9 + 5x = 6 + 3x + 1 Reorder the terms: 9 + 5x = 6 + 1 + 3x Combine like terms: 6 + 1 = 7 9 + 5x = 7 + 3x Solving 9 + 5x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x 9 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 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 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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