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Simplifying 6x + 5 = -45 + -6x Reorder the terms: 5 + 6x = -45 + -6x Solving 5 + 6x = -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. 5 + 6x + 6x = -45 + -6x + 6x Combine like terms: 6x + 6x = 12x 5 + 12x = -45 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 12x = -45 + 0 5 + 12x = -45 Add '-5' to each side of the equation. 5 + -5 + 12x = -45 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = -45 + -5 12x = -45 + -5 Combine like terms: -45 + -5 = -50 12x = -50 Divide each side by '12'. x = -4.166666667 Simplifying x = -4.166666667
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