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Simplifying 10x + 8 = 9(x + 9) + 2 Reorder the terms: 8 + 10x = 9(x + 9) + 2 Reorder the terms: 8 + 10x = 9(9 + x) + 2 8 + 10x = (9 * 9 + x * 9) + 2 8 + 10x = (81 + 9x) + 2 Reorder the terms: 8 + 10x = 81 + 2 + 9x Combine like terms: 81 + 2 = 83 8 + 10x = 83 + 9x Solving 8 + 10x = 83 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 10x + -9x = 83 + 9x + -9x Combine like terms: 10x + -9x = 1x 8 + 1x = 83 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + 1x = 83 + 0 8 + 1x = 83 Add '-8' to each side of the equation. 8 + -8 + 1x = 83 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 83 + -8 1x = 83 + -8 Combine like terms: 83 + -8 = 75 1x = 75 Divide each side by '1'. x = 75 Simplifying x = 75
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