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Simplifying -6x + -117 = 3x + 153 Reorder the terms: -117 + -6x = 3x + 153 Reorder the terms: -117 + -6x = 153 + 3x Solving -117 + -6x = 153 + 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 + -6x + -3x = 153 + 3x + -3x Combine like terms: -6x + -3x = -9x -117 + -9x = 153 + 3x + -3x Combine like terms: 3x + -3x = 0 -117 + -9x = 153 + 0 -117 + -9x = 153 Add '117' to each side of the equation. -117 + 117 + -9x = 153 + 117 Combine like terms: -117 + 117 = 0 0 + -9x = 153 + 117 -9x = 153 + 117 Combine like terms: 153 + 117 = 270 -9x = 270 Divide each side by '-9'. x = -30 Simplifying x = -30
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