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Simplifying -8(1 + -8x) + 5(6x + 5) = -77 (1 * -8 + -8x * -8) + 5(6x + 5) = -77 (-8 + 64x) + 5(6x + 5) = -77 Reorder the terms: -8 + 64x + 5(5 + 6x) = -77 -8 + 64x + (5 * 5 + 6x * 5) = -77 -8 + 64x + (25 + 30x) = -77 Reorder the terms: -8 + 25 + 64x + 30x = -77 Combine like terms: -8 + 25 = 17 17 + 64x + 30x = -77 Combine like terms: 64x + 30x = 94x 17 + 94x = -77 Solving 17 + 94x = -77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 94x = -77 + -17 Combine like terms: 17 + -17 = 0 0 + 94x = -77 + -17 94x = -77 + -17 Combine like terms: -77 + -17 = -94 94x = -94 Divide each side by '94'. x = -1 Simplifying x = -1
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