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Simplifying 8(8 + 8x) = 8(6x + 2) (8 * 8 + 8x * 8) = 8(6x + 2) (64 + 64x) = 8(6x + 2) Reorder the terms: 64 + 64x = 8(2 + 6x) 64 + 64x = (2 * 8 + 6x * 8) 64 + 64x = (16 + 48x) Solving 64 + 64x = 16 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 64 + 64x + -48x = 16 + 48x + -48x Combine like terms: 64x + -48x = 16x 64 + 16x = 16 + 48x + -48x Combine like terms: 48x + -48x = 0 64 + 16x = 16 + 0 64 + 16x = 16 Add '-64' to each side of the equation. 64 + -64 + 16x = 16 + -64 Combine like terms: 64 + -64 = 0 0 + 16x = 16 + -64 16x = 16 + -64 Combine like terms: 16 + -64 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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