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Simplifying -5x + 2(-4x + -9) = -83 Reorder the terms: -5x + 2(-9 + -4x) = -83 -5x + (-9 * 2 + -4x * 2) = -83 -5x + (-18 + -8x) = -83 Reorder the terms: -18 + -5x + -8x = -83 Combine like terms: -5x + -8x = -13x -18 + -13x = -83 Solving -18 + -13x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -13x = -83 + 18 Combine like terms: -18 + 18 = 0 0 + -13x = -83 + 18 -13x = -83 + 18 Combine like terms: -83 + 18 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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