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Simplifying 7 + 3x + 4(6x + 8) = 0 Reorder the terms: 7 + 3x + 4(8 + 6x) = 0 7 + 3x + (8 * 4 + 6x * 4) = 0 7 + 3x + (32 + 24x) = 0 Reorder the terms: 7 + 32 + 3x + 24x = 0 Combine like terms: 7 + 32 = 39 39 + 3x + 24x = 0 Combine like terms: 3x + 24x = 27x 39 + 27x = 0 Solving 39 + 27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 27x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 27x = 0 + -39 27x = 0 + -39 Combine like terms: 0 + -39 = -39 27x = -39 Divide each side by '27'. x = -1.444444444 Simplifying x = -1.444444444
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