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Simplifying 8(x + 8) = 6(x + 80) Reorder the terms: 8(8 + x) = 6(x + 80) (8 * 8 + x * 8) = 6(x + 80) (64 + 8x) = 6(x + 80) Reorder the terms: 64 + 8x = 6(80 + x) 64 + 8x = (80 * 6 + x * 6) 64 + 8x = (480 + 6x) Solving 64 + 8x = 480 + 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. 64 + 8x + -6x = 480 + 6x + -6x Combine like terms: 8x + -6x = 2x 64 + 2x = 480 + 6x + -6x Combine like terms: 6x + -6x = 0 64 + 2x = 480 + 0 64 + 2x = 480 Add '-64' to each side of the equation. 64 + -64 + 2x = 480 + -64 Combine like terms: 64 + -64 = 0 0 + 2x = 480 + -64 2x = 480 + -64 Combine like terms: 480 + -64 = 416 2x = 416 Divide each side by '2'. x = 208 Simplifying x = 208
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