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Simplifying 7x + -46 = -12x + 24 Reorder the terms: -46 + 7x = -12x + 24 Reorder the terms: -46 + 7x = 24 + -12x Solving -46 + 7x = 24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -46 + 7x + 12x = 24 + -12x + 12x Combine like terms: 7x + 12x = 19x -46 + 19x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 -46 + 19x = 24 + 0 -46 + 19x = 24 Add '46' to each side of the equation. -46 + 46 + 19x = 24 + 46 Combine like terms: -46 + 46 = 0 0 + 19x = 24 + 46 19x = 24 + 46 Combine like terms: 24 + 46 = 70 19x = 70 Divide each side by '19'. x = 3.684210526 Simplifying x = 3.684210526
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