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Simplifying 7x = x + (x + 1) * 2 + 6 Reorder the terms: 7x = x + (1 + x) * 2 + 6 Reorder the terms for easier multiplication: 7x = x + 2(1 + x) + 6 7x = x + (1 * 2 + x * 2) + 6 7x = x + (2 + 2x) + 6 Reorder the terms: 7x = 2 + 6 + x + 2x Combine like terms: 2 + 6 = 8 7x = 8 + x + 2x Combine like terms: x + 2x = 3x 7x = 8 + 3x Solving 7x = 8 + 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. 7x + -3x = 8 + 3x + -3x Combine like terms: 7x + -3x = 4x 4x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 4x = 8 + 0 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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