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Simplifying 45x = 6x + 8 + -186 Reorder the terms: 45x = 8 + -186 + 6x Combine like terms: 8 + -186 = -178 45x = -178 + 6x Solving 45x = -178 + 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. 45x + -6x = -178 + 6x + -6x Combine like terms: 45x + -6x = 39x 39x = -178 + 6x + -6x Combine like terms: 6x + -6x = 0 39x = -178 + 0 39x = -178 Divide each side by '39'. x = -4.564102564 Simplifying x = -4.564102564
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