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Simplifying 10x + -9 = 9(x + 9) + -1 Reorder the terms: -9 + 10x = 9(x + 9) + -1 Reorder the terms: -9 + 10x = 9(9 + x) + -1 -9 + 10x = (9 * 9 + x * 9) + -1 -9 + 10x = (81 + 9x) + -1 Reorder the terms: -9 + 10x = 81 + -1 + 9x Combine like terms: 81 + -1 = 80 -9 + 10x = 80 + 9x Solving -9 + 10x = 80 + 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. -9 + 10x + -9x = 80 + 9x + -9x Combine like terms: 10x + -9x = 1x -9 + 1x = 80 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + 1x = 80 + 0 -9 + 1x = 80 Add '9' to each side of the equation. -9 + 9 + 1x = 80 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 80 + 9 1x = 80 + 9 Combine like terms: 80 + 9 = 89 1x = 89 Divide each side by '1'. x = 89 Simplifying x = 89
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