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Simplifying 9x + -2 = 8(x + 8) + -9 Reorder the terms: -2 + 9x = 8(x + 8) + -9 Reorder the terms: -2 + 9x = 8(8 + x) + -9 -2 + 9x = (8 * 8 + x * 8) + -9 -2 + 9x = (64 + 8x) + -9 Reorder the terms: -2 + 9x = 64 + -9 + 8x Combine like terms: 64 + -9 = 55 -2 + 9x = 55 + 8x Solving -2 + 9x = 55 + 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. -2 + 9x + -8x = 55 + 8x + -8x Combine like terms: 9x + -8x = 1x -2 + 1x = 55 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 1x = 55 + 0 -2 + 1x = 55 Add '2' to each side of the equation. -2 + 2 + 1x = 55 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 55 + 2 1x = 55 + 2 Combine like terms: 55 + 2 = 57 1x = 57 Divide each side by '1'. x = 57 Simplifying x = 57
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