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Simplifying x + 8(x + 2) = 31 + 6x Reorder the terms: x + 8(2 + x) = 31 + 6x x + (2 * 8 + x * 8) = 31 + 6x x + (16 + 8x) = 31 + 6x Reorder the terms: 16 + x + 8x = 31 + 6x Combine like terms: x + 8x = 9x 16 + 9x = 31 + 6x Solving 16 + 9x = 31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + 9x + -6x = 31 + 6x + -6x Combine like terms: 9x + -6x = 3x 16 + 3x = 31 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 3x = 31 + 0 16 + 3x = 31 Add '-16' to each side of the equation. 16 + -16 + 3x = 31 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 31 + -16 3x = 31 + -16 Combine like terms: 31 + -16 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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