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Simplifying 3x + 7(x + 1) + 2 = 9 + -5x Reorder the terms: 3x + 7(1 + x) + 2 = 9 + -5x 3x + (1 * 7 + x * 7) + 2 = 9 + -5x 3x + (7 + 7x) + 2 = 9 + -5x Reorder the terms: 7 + 2 + 3x + 7x = 9 + -5x Combine like terms: 7 + 2 = 9 9 + 3x + 7x = 9 + -5x Combine like terms: 3x + 7x = 10x 9 + 10x = 9 + -5x Add '-9' to each side of the equation. 9 + -9 + 10x = 9 + -9 + -5x Combine like terms: 9 + -9 = 0 0 + 10x = 9 + -9 + -5x 10x = 9 + -9 + -5x Combine like terms: 9 + -9 = 0 10x = 0 + -5x 10x = -5x Solving 10x = -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. 10x + 5x = -5x + 5x Combine like terms: 10x + 5x = 15x 15x = -5x + 5x Combine like terms: -5x + 5x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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