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Simplifying 7(x + -1) = x + 100 Reorder the terms: 7(-1 + x) = x + 100 (-1 * 7 + x * 7) = x + 100 (-7 + 7x) = x + 100 Reorder the terms: -7 + 7x = 100 + x Solving -7 + 7x = 100 + 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 = 100 + x + -1x Combine like terms: 7x + -1x = 6x -7 + 6x = 100 + x + -1x Combine like terms: x + -1x = 0 -7 + 6x = 100 + 0 -7 + 6x = 100 Add '7' to each side of the equation. -7 + 7 + 6x = 100 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 100 + 7 6x = 100 + 7 Combine like terms: 100 + 7 = 107 6x = 107 Divide each side by '6'. x = 17.83333333 Simplifying x = 17.83333333
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