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Simplifying 8(x + 2) = 2(2x + 1) Reorder the terms: 8(2 + x) = 2(2x + 1) (2 * 8 + x * 8) = 2(2x + 1) (16 + 8x) = 2(2x + 1) Reorder the terms: 16 + 8x = 2(1 + 2x) 16 + 8x = (1 * 2 + 2x * 2) 16 + 8x = (2 + 4x) Solving 16 + 8x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + 8x + -4x = 2 + 4x + -4x Combine like terms: 8x + -4x = 4x 16 + 4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + 4x = 2 + 0 16 + 4x = 2 Add '-16' to each side of the equation. 16 + -16 + 4x = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 2 + -16 4x = 2 + -16 Combine like terms: 2 + -16 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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