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Simplifying 7(x + 1) + 2x + -1 = 15 Reorder the terms: 7(1 + x) + 2x + -1 = 15 (1 * 7 + x * 7) + 2x + -1 = 15 (7 + 7x) + 2x + -1 = 15 Reorder the terms: 7 + -1 + 7x + 2x = 15 Combine like terms: 7 + -1 = 6 6 + 7x + 2x = 15 Combine like terms: 7x + 2x = 9x 6 + 9x = 15 Solving 6 + 9x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 9x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 15 + -6 9x = 15 + -6 Combine like terms: 15 + -6 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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