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Simplifying 9x + 100 = 8x + 21 Reorder the terms: 100 + 9x = 8x + 21 Reorder the terms: 100 + 9x = 21 + 8x Solving 100 + 9x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 100 + 9x + -8x = 21 + 8x + -8x Combine like terms: 9x + -8x = 1x 100 + 1x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 100 + 1x = 21 + 0 100 + 1x = 21 Add '-100' to each side of the equation. 100 + -100 + 1x = 21 + -100 Combine like terms: 100 + -100 = 0 0 + 1x = 21 + -100 1x = 21 + -100 Combine like terms: 21 + -100 = -79 1x = -79 Divide each side by '1'. x = -79 Simplifying x = -79
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