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Simplifying 8x + 2(2x + 8) = 4x + 32 Reorder the terms: 8x + 2(8 + 2x) = 4x + 32 8x + (8 * 2 + 2x * 2) = 4x + 32 8x + (16 + 4x) = 4x + 32 Reorder the terms: 16 + 8x + 4x = 4x + 32 Combine like terms: 8x + 4x = 12x 16 + 12x = 4x + 32 Reorder the terms: 16 + 12x = 32 + 4x Solving 16 + 12x = 32 + 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 + 12x + -4x = 32 + 4x + -4x Combine like terms: 12x + -4x = 8x 16 + 8x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + 8x = 32 + 0 16 + 8x = 32 Add '-16' to each side of the equation. 16 + -16 + 8x = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = 32 + -16 8x = 32 + -16 Combine like terms: 32 + -16 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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