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Simplifying 7x = 5(x + 1) * 1 + 1 Reorder the terms: 7x = 5(1 + x) * 1 + 1 Reorder the terms for easier multiplication: 7x = 5 * 1(1 + x) + 1 Multiply 5 * 1 7x = 5(1 + x) + 1 7x = (1 * 5 + x * 5) + 1 7x = (5 + 5x) + 1 Reorder the terms: 7x = 5 + 1 + 5x Combine like terms: 5 + 1 = 6 7x = 6 + 5x Solving 7x = 6 + 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. 7x + -5x = 6 + 5x + -5x Combine like terms: 7x + -5x = 2x 2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 2x = 6 + 0 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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