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Simplifying -1(2x + 7) + -7(-8x + -6) = -76 Reorder the terms: -1(7 + 2x) + -7(-8x + -6) = -76 (7 * -1 + 2x * -1) + -7(-8x + -6) = -76 (-7 + -2x) + -7(-8x + -6) = -76 Reorder the terms: -7 + -2x + -7(-6 + -8x) = -76 -7 + -2x + (-6 * -7 + -8x * -7) = -76 -7 + -2x + (42 + 56x) = -76 Reorder the terms: -7 + 42 + -2x + 56x = -76 Combine like terms: -7 + 42 = 35 35 + -2x + 56x = -76 Combine like terms: -2x + 56x = 54x 35 + 54x = -76 Solving 35 + 54x = -76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 54x = -76 + -35 Combine like terms: 35 + -35 = 0 0 + 54x = -76 + -35 54x = -76 + -35 Combine like terms: -76 + -35 = -111 54x = -111 Divide each side by '54'. x = -2.055555556 Simplifying x = -2.055555556
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