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Simplifying 4(6x + 2) + 6(x + 6) = -8 Reorder the terms: 4(2 + 6x) + 6(x + 6) = -8 (2 * 4 + 6x * 4) + 6(x + 6) = -8 (8 + 24x) + 6(x + 6) = -8 Reorder the terms: 8 + 24x + 6(6 + x) = -8 8 + 24x + (6 * 6 + x * 6) = -8 8 + 24x + (36 + 6x) = -8 Reorder the terms: 8 + 36 + 24x + 6x = -8 Combine like terms: 8 + 36 = 44 44 + 24x + 6x = -8 Combine like terms: 24x + 6x = 30x 44 + 30x = -8 Solving 44 + 30x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 30x = -8 + -44 Combine like terms: 44 + -44 = 0 0 + 30x = -8 + -44 30x = -8 + -44 Combine like terms: -8 + -44 = -52 30x = -52 Divide each side by '30'. x = -1.733333333 Simplifying x = -1.733333333
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