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Simplifying 3x + 9 = -46 + -10x Reorder the terms: 9 + 3x = -46 + -10x Solving 9 + 3x = -46 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 9 + 3x + 10x = -46 + -10x + 10x Combine like terms: 3x + 10x = 13x 9 + 13x = -46 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 13x = -46 + 0 9 + 13x = -46 Add '-9' to each side of the equation. 9 + -9 + 13x = -46 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = -46 + -9 13x = -46 + -9 Combine like terms: -46 + -9 = -55 13x = -55 Divide each side by '13'. x = -4.230769231 Simplifying x = -4.230769231
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