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