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Simplifying 100x + 100 = 99x + 99 Reorder the terms: 100 + 100x = 99x + 99 Reorder the terms: 100 + 100x = 99 + 99x Solving 100 + 100x = 99 + 99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-99x' to each side of the equation. 100 + 100x + -99x = 99 + 99x + -99x Combine like terms: 100x + -99x = 1x 100 + 1x = 99 + 99x + -99x Combine like terms: 99x + -99x = 0 100 + 1x = 99 + 0 100 + 1x = 99 Add '-100' to each side of the equation. 100 + -100 + 1x = 99 + -100 Combine like terms: 100 + -100 = 0 0 + 1x = 99 + -100 1x = 99 + -100 Combine like terms: 99 + -100 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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