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Simplifying 162 = 2(2x + 1) + 4x Reorder the terms: 162 = 2(1 + 2x) + 4x 162 = (1 * 2 + 2x * 2) + 4x 162 = (2 + 4x) + 4x Combine like terms: 4x + 4x = 8x 162 = 2 + 8x Solving 162 = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 162 + -8x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 162 + -8x = 2 + 0 162 + -8x = 2 Add '-162' to each side of the equation. 162 + -162 + -8x = 2 + -162 Combine like terms: 162 + -162 = 0 0 + -8x = 2 + -162 -8x = 2 + -162 Combine like terms: 2 + -162 = -160 -8x = -160 Divide each side by '-8'. x = 20 Simplifying x = 20
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