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Simplifying -6x + 5(2x + -7) = -83 Reorder the terms: -6x + 5(-7 + 2x) = -83 -6x + (-7 * 5 + 2x * 5) = -83 -6x + (-35 + 10x) = -83 Reorder the terms: -35 + -6x + 10x = -83 Combine like terms: -6x + 10x = 4x -35 + 4x = -83 Solving -35 + 4x = -83 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 + 4x = -83 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = -83 + 35 4x = -83 + 35 Combine like terms: -83 + 35 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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