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Simplifying -2 + 8(x + 2) = 41 + 2x Reorder the terms: -2 + 8(2 + x) = 41 + 2x -2 + (2 * 8 + x * 8) = 41 + 2x -2 + (16 + 8x) = 41 + 2x Combine like terms: -2 + 16 = 14 14 + 8x = 41 + 2x Solving 14 + 8x = 41 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 8x + -2x = 41 + 2x + -2x Combine like terms: 8x + -2x = 6x 14 + 6x = 41 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 6x = 41 + 0 14 + 6x = 41 Add '-14' to each side of the equation. 14 + -14 + 6x = 41 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 41 + -14 6x = 41 + -14 Combine like terms: 41 + -14 = 27 6x = 27 Divide each side by '6'. x = 4.5 Simplifying x = 4.5
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