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Simplifying 8(x + 2) = 64 + 6x Reorder the terms: 8(2 + x) = 64 + 6x (2 * 8 + x * 8) = 64 + 6x (16 + 8x) = 64 + 6x Solving 16 + 8x = 64 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + 8x + -6x = 64 + 6x + -6x Combine like terms: 8x + -6x = 2x 16 + 2x = 64 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 2x = 64 + 0 16 + 2x = 64 Add '-16' to each side of the equation. 16 + -16 + 2x = 64 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 64 + -16 2x = 64 + -16 Combine like terms: 64 + -16 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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