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Simplifying 3x + 46 = -13x + -6 + -10x Reorder the terms: 46 + 3x = -13x + -6 + -10x Reorder the terms: 46 + 3x = -6 + -13x + -10x Combine like terms: -13x + -10x = -23x 46 + 3x = -6 + -23x Solving 46 + 3x = -6 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 46 + 3x + 23x = -6 + -23x + 23x Combine like terms: 3x + 23x = 26x 46 + 26x = -6 + -23x + 23x Combine like terms: -23x + 23x = 0 46 + 26x = -6 + 0 46 + 26x = -6 Add '-46' to each side of the equation. 46 + -46 + 26x = -6 + -46 Combine like terms: 46 + -46 = 0 0 + 26x = -6 + -46 26x = -6 + -46 Combine like terms: -6 + -46 = -52 26x = -52 Divide each side by '26'. x = -2 Simplifying x = -2
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