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Simplifying 6(1 + 8x) + 2x = 6(1 + x) (1 * 6 + 8x * 6) + 2x = 6(1 + x) (6 + 48x) + 2x = 6(1 + x) Combine like terms: 48x + 2x = 50x 6 + 50x = 6(1 + x) 6 + 50x = (1 * 6 + x * 6) 6 + 50x = (6 + 6x) Add '-6' to each side of the equation. 6 + -6 + 50x = 6 + -6 + 6x Combine like terms: 6 + -6 = 0 0 + 50x = 6 + -6 + 6x 50x = 6 + -6 + 6x Combine like terms: 6 + -6 = 0 50x = 0 + 6x 50x = 6x Solving 50x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 50x + -6x = 6x + -6x Combine like terms: 50x + -6x = 44x 44x = 6x + -6x Combine like terms: 6x + -6x = 0 44x = 0 Divide each side by '44'. x = 0 Simplifying x = 0
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