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Simplifying 2x + 46 = 5x + 7 Reorder the terms: 46 + 2x = 5x + 7 Reorder the terms: 46 + 2x = 7 + 5x Solving 46 + 2x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 46 + 2x + -5x = 7 + 5x + -5x Combine like terms: 2x + -5x = -3x 46 + -3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 46 + -3x = 7 + 0 46 + -3x = 7 Add '-46' to each side of the equation. 46 + -46 + -3x = 7 + -46 Combine like terms: 46 + -46 = 0 0 + -3x = 7 + -46 -3x = 7 + -46 Combine like terms: 7 + -46 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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