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Simplifying -3x + -117 = 6x + 45 Reorder the terms: -117 + -3x = 6x + 45 Reorder the terms: -117 + -3x = 45 + 6x Solving -117 + -3x = 45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -117 + -3x + -6x = 45 + 6x + -6x Combine like terms: -3x + -6x = -9x -117 + -9x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 -117 + -9x = 45 + 0 -117 + -9x = 45 Add '117' to each side of the equation. -117 + 117 + -9x = 45 + 117 Combine like terms: -117 + 117 = 0 0 + -9x = 45 + 117 -9x = 45 + 117 Combine like terms: 45 + 117 = 162 -9x = 162 Divide each side by '-9'. x = -18 Simplifying x = -18
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