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Simplifying 2(8x + 2) = 8(x + 9) Reorder the terms: 2(2 + 8x) = 8(x + 9) (2 * 2 + 8x * 2) = 8(x + 9) (4 + 16x) = 8(x + 9) Reorder the terms: 4 + 16x = 8(9 + x) 4 + 16x = (9 * 8 + x * 8) 4 + 16x = (72 + 8x) Solving 4 + 16x = 72 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 16x + -8x = 72 + 8x + -8x Combine like terms: 16x + -8x = 8x 4 + 8x = 72 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 8x = 72 + 0 4 + 8x = 72 Add '-4' to each side of the equation. 4 + -4 + 8x = 72 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 72 + -4 8x = 72 + -4 Combine like terms: 72 + -4 = 68 8x = 68 Divide each side by '8'. x = 8.5 Simplifying x = 8.5
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