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Simplifying 6(x + 1) = 20 + -1x Reorder the terms: 6(1 + x) = 20 + -1x (1 * 6 + x * 6) = 20 + -1x (6 + 6x) = 20 + -1x Solving 6 + 6x = 20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 6x + x = 20 + -1x + x Combine like terms: 6x + x = 7x 6 + 7x = 20 + -1x + x Combine like terms: -1x + x = 0 6 + 7x = 20 + 0 6 + 7x = 20 Add '-6' to each side of the equation. 6 + -6 + 7x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 20 + -6 7x = 20 + -6 Combine like terms: 20 + -6 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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