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Simplifying -46 + -3x = 10 + -10x Solving -46 + -3x = 10 + -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. -46 + -3x + 10x = 10 + -10x + 10x Combine like terms: -3x + 10x = 7x -46 + 7x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 -46 + 7x = 10 + 0 -46 + 7x = 10 Add '46' to each side of the equation. -46 + 46 + 7x = 10 + 46 Combine like terms: -46 + 46 = 0 0 + 7x = 10 + 46 7x = 10 + 46 Combine like terms: 10 + 46 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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