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Simplifying 3x + 9 = 2x + 46 Reorder the terms: 9 + 3x = 2x + 46 Reorder the terms: 9 + 3x = 46 + 2x Solving 9 + 3x = 46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 3x + -2x = 46 + 2x + -2x Combine like terms: 3x + -2x = 1x 9 + 1x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 1x = 46 + 0 9 + 1x = 46 Add '-9' to each side of the equation. 9 + -9 + 1x = 46 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 46 + -9 1x = 46 + -9 Combine like terms: 46 + -9 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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