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Simplifying -5x + -117 = 3x + 67 Reorder the terms: -117 + -5x = 3x + 67 Reorder the terms: -117 + -5x = 67 + 3x Solving -117 + -5x = 67 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -117 + -5x + -3x = 67 + 3x + -3x Combine like terms: -5x + -3x = -8x -117 + -8x = 67 + 3x + -3x Combine like terms: 3x + -3x = 0 -117 + -8x = 67 + 0 -117 + -8x = 67 Add '117' to each side of the equation. -117 + 117 + -8x = 67 + 117 Combine like terms: -117 + 117 = 0 0 + -8x = 67 + 117 -8x = 67 + 117 Combine like terms: 67 + 117 = 184 -8x = 184 Divide each side by '-8'. x = -23 Simplifying x = -23
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