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Simplifying -2(4x + 7) + -5 = -83 Reorder the terms: -2(7 + 4x) + -5 = -83 (7 * -2 + 4x * -2) + -5 = -83 (-14 + -8x) + -5 = -83 Reorder the terms: -14 + -5 + -8x = -83 Combine like terms: -14 + -5 = -19 -19 + -8x = -83 Solving -19 + -8x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -8x = -83 + 19 Combine like terms: -19 + 19 = 0 0 + -8x = -83 + 19 -8x = -83 + 19 Combine like terms: -83 + 19 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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