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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 = -60x 28 + -60x = 76 Solving 28 + -60x = 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 + -60x = 76 + -28 Combine like terms: 28 + -28 = 0 0 + -60x = 76 + -28 -60x = 76 + -28 Combine like terms: 76 + -28 = 48 -60x = 48 Divide each side by '-60'. x = -0.8 Simplifying x = -0.8
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