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Simplifying 46 + -42x = 36 + -45x + 10 Reorder the terms: 46 + -42x = 36 + 10 + -45x Combine like terms: 36 + 10 = 46 46 + -42x = 46 + -45x Add '-46' to each side of the equation. 46 + -46 + -42x = 46 + -46 + -45x Combine like terms: 46 + -46 = 0 0 + -42x = 46 + -46 + -45x -42x = 46 + -46 + -45x Combine like terms: 46 + -46 = 0 -42x = 0 + -45x -42x = -45x Solving -42x = -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -42x + 45x = -45x + 45x Combine like terms: -42x + 45x = 3x 3x = -45x + 45x Combine like terms: -45x + 45x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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