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Simplifying 7(x + -1) = 9 + -1x Reorder the terms: 7(-1 + x) = 9 + -1x (-1 * 7 + x * 7) = 9 + -1x (-7 + 7x) = 9 + -1x Solving -7 + 7x = 9 + -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. -7 + 7x + x = 9 + -1x + x Combine like terms: 7x + x = 8x -7 + 8x = 9 + -1x + x Combine like terms: -1x + x = 0 -7 + 8x = 9 + 0 -7 + 8x = 9 Add '7' to each side of the equation. -7 + 7 + 8x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 9 + 7 8x = 9 + 7 Combine like terms: 9 + 7 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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