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Simplifying 6(6 + 8x) = 6(6x + 1) (6 * 6 + 8x * 6) = 6(6x + 1) (36 + 48x) = 6(6x + 1) Reorder the terms: 36 + 48x = 6(1 + 6x) 36 + 48x = (1 * 6 + 6x * 6) 36 + 48x = (6 + 36x) Solving 36 + 48x = 6 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 36 + 48x + -36x = 6 + 36x + -36x Combine like terms: 48x + -36x = 12x 36 + 12x = 6 + 36x + -36x Combine like terms: 36x + -36x = 0 36 + 12x = 6 + 0 36 + 12x = 6 Add '-36' to each side of the equation. 36 + -36 + 12x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 12x = 6 + -36 12x = 6 + -36 Combine like terms: 6 + -36 = -30 12x = -30 Divide each side by '12'. x = -2.5 Simplifying x = -2.5
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