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Simplifying -5(-8x + -4) + 7(1 + 6x) = 27 Reorder the terms: -5(-4 + -8x) + 7(1 + 6x) = 27 (-4 * -5 + -8x * -5) + 7(1 + 6x) = 27 (20 + 40x) + 7(1 + 6x) = 27 20 + 40x + (1 * 7 + 6x * 7) = 27 20 + 40x + (7 + 42x) = 27 Reorder the terms: 20 + 7 + 40x + 42x = 27 Combine like terms: 20 + 7 = 27 27 + 40x + 42x = 27 Combine like terms: 40x + 42x = 82x 27 + 82x = 27 Add '-27' to each side of the equation. 27 + -27 + 82x = 27 + -27 Combine like terms: 27 + -27 = 0 0 + 82x = 27 + -27 82x = 27 + -27 Combine like terms: 27 + -27 = 0 82x = 0 Solving 82x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '82'. x = 0 Simplifying x = 0
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