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Simplifying 6(x + 1) = 2 + 5x Reorder the terms: 6(1 + x) = 2 + 5x (1 * 6 + x * 6) = 2 + 5x (6 + 6x) = 2 + 5x Solving 6 + 6x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 6x + -5x = 2 + 5x + -5x Combine like terms: 6x + -5x = 1x 6 + 1x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 1x = 2 + 0 6 + 1x = 2 Add '-6' to each side of the equation. 6 + -6 + 1x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 2 + -6 1x = 2 + -6 Combine like terms: 2 + -6 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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