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Simplifying 8(x + 8) = 27(x + 5) Reorder the terms: 8(8 + x) = 27(x + 5) (8 * 8 + x * 8) = 27(x + 5) (64 + 8x) = 27(x + 5) Reorder the terms: 64 + 8x = 27(5 + x) 64 + 8x = (5 * 27 + x * 27) 64 + 8x = (135 + 27x) Solving 64 + 8x = 135 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 64 + 8x + -27x = 135 + 27x + -27x Combine like terms: 8x + -27x = -19x 64 + -19x = 135 + 27x + -27x Combine like terms: 27x + -27x = 0 64 + -19x = 135 + 0 64 + -19x = 135 Add '-64' to each side of the equation. 64 + -64 + -19x = 135 + -64 Combine like terms: 64 + -64 = 0 0 + -19x = 135 + -64 -19x = 135 + -64 Combine like terms: 135 + -64 = 71 -19x = 71 Divide each side by '-19'. x = -3.736842105 Simplifying x = -3.736842105
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