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Simplifying 7(x + 2) + -6 = x + 1 Reorder the terms: 7(2 + x) + -6 = x + 1 (2 * 7 + x * 7) + -6 = x + 1 (14 + 7x) + -6 = x + 1 Reorder the terms: 14 + -6 + 7x = x + 1 Combine like terms: 14 + -6 = 8 8 + 7x = x + 1 Reorder the terms: 8 + 7x = 1 + x Solving 8 + 7x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 7x + -1x = 1 + x + -1x Combine like terms: 7x + -1x = 6x 8 + 6x = 1 + x + -1x Combine like terms: x + -1x = 0 8 + 6x = 1 + 0 8 + 6x = 1 Add '-8' to each side of the equation. 8 + -8 + 6x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 1 + -8 6x = 1 + -8 Combine like terms: 1 + -8 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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