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