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Simplifying 3x + 2 + 8(x + 2) = x + (-1x) + 7 + (-1) + 5x Reorder the terms: 3x + 2 + 8(2 + x) = x + (-1x) + 7 + (-1) + 5x 3x + 2 + (2 * 8 + x * 8) = x + (-1x) + 7 + (-1) + 5x 3x + 2 + (16 + 8x) = x + (-1x) + 7 + (-1) + 5x Reorder the terms: 2 + 16 + 3x + 8x = x + (-1x) + 7 + (-1) + 5x Combine like terms: 2 + 16 = 18 18 + 3x + 8x = x + (-1x) + 7 + (-1) + 5x Combine like terms: 3x + 8x = 11x 18 + 11x = x + (-1x) + 7 + (-1) + 5x 18 + 11x = x + (-1x) + 7 + -1 + 5x Reorder the terms: 18 + 11x = 7 + -1 + x + (-1x) + 5x Combine like terms: 7 + -1 = 6 18 + 11x = 6 + x + (-1x) + 5x Combine like terms: x + (-1x) = 0 18 + 11x = 6 + 0 + 5x 18 + 11x = 6 + 5x Solving 18 + 11x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 11x + -5x = 6 + 5x + -5x Combine like terms: 11x + -5x = 6x 18 + 6x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 6x = 6 + 0 18 + 6x = 6 Add '-18' to each side of the equation. 18 + -18 + 6x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 6 + -18 6x = 6 + -18 Combine like terms: 6 + -18 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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