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Simplifying 7(x + -1) = (x + 2) + 1 Reorder the terms: 7(-1 + x) = (x + 2) + 1 (-1 * 7 + x * 7) = (x + 2) + 1 (-7 + 7x) = (x + 2) + 1 Reorder the terms: -7 + 7x = (2 + x) + 1 Remove parenthesis around (2 + x) -7 + 7x = 2 + x + 1 Reorder the terms: -7 + 7x = 2 + 1 + x Combine like terms: 2 + 1 = 3 -7 + 7x = 3 + x Solving -7 + 7x = 3 + 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. -7 + 7x + -1x = 3 + x + -1x Combine like terms: 7x + -1x = 6x -7 + 6x = 3 + x + -1x Combine like terms: x + -1x = 0 -7 + 6x = 3 + 0 -7 + 6x = 3 Add '7' to each side of the equation. -7 + 7 + 6x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 3 + 7 6x = 3 + 7 Combine like terms: 3 + 7 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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