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Simplifying -2(2x + 7) + -7(-8x + -6) = -76 Reorder the terms: -2(7 + 2x) + -7(-8x + -6) = -76 (7 * -2 + 2x * -2) + -7(-8x + -6) = -76 (-14 + -4x) + -7(-8x + -6) = -76 Reorder the terms: -14 + -4x + -7(-6 + -8x) = -76 -14 + -4x + (-6 * -7 + -8x * -7) = -76 -14 + -4x + (42 + 56x) = -76 Reorder the terms: -14 + 42 + -4x + 56x = -76 Combine like terms: -14 + 42 = 28 28 + -4x + 56x = -76 Combine like terms: -4x + 56x = 52x 28 + 52x = -76 Solving 28 + 52x = -76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 52x = -76 + -28 Combine like terms: 28 + -28 = 0 0 + 52x = -76 + -28 52x = -76 + -28 Combine like terms: -76 + -28 = -104 52x = -104 Divide each side by '52'. x = -2 Simplifying x = -2
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