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Simplifying x + 2x + (6x + 2) = 47 Reorder the terms: x + 2x + (2 + 6x) = 47 Remove parenthesis around (2 + 6x) x + 2x + 2 + 6x = 47 Reorder the terms: 2 + x + 2x + 6x = 47 Combine like terms: x + 2x = 3x 2 + 3x + 6x = 47 Combine like terms: 3x + 6x = 9x 2 + 9x = 47 Solving 2 + 9x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9x = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 47 + -2 9x = 47 + -2 Combine like terms: 47 + -2 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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