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Simplifying 9x + 8 = 8(x + 5) + -2 Reorder the terms: 8 + 9x = 8(x + 5) + -2 Reorder the terms: 8 + 9x = 8(5 + x) + -2 8 + 9x = (5 * 8 + x * 8) + -2 8 + 9x = (40 + 8x) + -2 Reorder the terms: 8 + 9x = 40 + -2 + 8x Combine like terms: 40 + -2 = 38 8 + 9x = 38 + 8x Solving 8 + 9x = 38 + 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. 8 + 9x + -8x = 38 + 8x + -8x Combine like terms: 9x + -8x = 1x 8 + 1x = 38 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 1x = 38 + 0 8 + 1x = 38 Add '-8' to each side of the equation. 8 + -8 + 1x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 38 + -8 1x = 38 + -8 Combine like terms: 38 + -8 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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