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Simplifying (2x + 1) + (2x + 1) + x + x + x + x = 162 Reorder the terms: (1 + 2x) + (2x + 1) + x + x + x + x = 162 Remove parenthesis around (1 + 2x) 1 + 2x + (2x + 1) + x + x + x + x = 162 Reorder the terms: 1 + 2x + (1 + 2x) + x + x + x + x = 162 Remove parenthesis around (1 + 2x) 1 + 2x + 1 + 2x + x + x + x + x = 162 Reorder the terms: 1 + 1 + 2x + 2x + x + x + x + x = 162 Combine like terms: 1 + 1 = 2 2 + 2x + 2x + x + x + x + x = 162 Combine like terms: 2x + 2x = 4x 2 + 4x + x + x + x + x = 162 Combine like terms: 4x + x = 5x 2 + 5x + x + x + x = 162 Combine like terms: 5x + x = 6x 2 + 6x + x + x = 162 Combine like terms: 6x + x = 7x 2 + 7x + x = 162 Combine like terms: 7x + x = 8x 2 + 8x = 162 Solving 2 + 8x = 162 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 + 8x = 162 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 162 + -2 8x = 162 + -2 Combine like terms: 162 + -2 = 160 8x = 160 Divide each side by '8'. x = 20 Simplifying x = 20
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