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