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Simplifying 8(x + 1) = 6(x + 6) Reorder the terms: 8(1 + x) = 6(x + 6) (1 * 8 + x * 8) = 6(x + 6) (8 + 8x) = 6(x + 6) Reorder the terms: 8 + 8x = 6(6 + x) 8 + 8x = (6 * 6 + x * 6) 8 + 8x = (36 + 6x) Solving 8 + 8x = 36 + 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. 8 + 8x + -6x = 36 + 6x + -6x Combine like terms: 8x + -6x = 2x 8 + 2x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 2x = 36 + 0 8 + 2x = 36 Add '-8' to each side of the equation. 8 + -8 + 2x = 36 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 36 + -8 2x = 36 + -8 Combine like terms: 36 + -8 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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