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Simplifying 6x + 7(-2x + -17) = -175 Reorder the terms: 6x + 7(-17 + -2x) = -175 6x + (-17 * 7 + -2x * 7) = -175 6x + (-119 + -14x) = -175 Reorder the terms: -119 + 6x + -14x = -175 Combine like terms: 6x + -14x = -8x -119 + -8x = -175 Solving -119 + -8x = -175 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '119' to each side of the equation. -119 + 119 + -8x = -175 + 119 Combine like terms: -119 + 119 = 0 0 + -8x = -175 + 119 -8x = -175 + 119 Combine like terms: -175 + 119 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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