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Simplifying 7x + 46 = 12x + -9 Reorder the terms: 46 + 7x = 12x + -9 Reorder the terms: 46 + 7x = -9 + 12x Solving 46 + 7x = -9 + 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 = -9 + 12x + -12x Combine like terms: 7x + -12x = -5x 46 + -5x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 46 + -5x = -9 + 0 46 + -5x = -9 Add '-46' to each side of the equation. 46 + -46 + -5x = -9 + -46 Combine like terms: 46 + -46 = 0 0 + -5x = -9 + -46 -5x = -9 + -46 Combine like terms: -9 + -46 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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