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Simplifying 6(6x + 7) = 14 + -8x Reorder the terms: 6(7 + 6x) = 14 + -8x (7 * 6 + 6x * 6) = 14 + -8x (42 + 36x) = 14 + -8x Solving 42 + 36x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 42 + 36x + 8x = 14 + -8x + 8x Combine like terms: 36x + 8x = 44x 42 + 44x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 44x = 14 + 0 42 + 44x = 14 Add '-42' to each side of the equation. 42 + -42 + 44x = 14 + -42 Combine like terms: 42 + -42 = 0 0 + 44x = 14 + -42 44x = 14 + -42 Combine like terms: 14 + -42 = -28 44x = -28 Divide each side by '44'. x = -0.6363636364 Simplifying x = -0.6363636364
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