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Simplifying -46 + -7x = 7x + 24 Reorder the terms: -46 + -7x = 24 + 7x Solving -46 + -7x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -46 + -7x + -7x = 24 + 7x + -7x Combine like terms: -7x + -7x = -14x -46 + -14x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 -46 + -14x = 24 + 0 -46 + -14x = 24 Add '46' to each side of the equation. -46 + 46 + -14x = 24 + 46 Combine like terms: -46 + 46 = 0 0 + -14x = 24 + 46 -14x = 24 + 46 Combine like terms: 24 + 46 = 70 -14x = 70 Divide each side by '-14'. x = -5 Simplifying x = -5
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