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