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Simplifying 2x + 43 = 3x + 21 Reorder the terms: 43 + 2x = 3x + 21 Reorder the terms: 43 + 2x = 21 + 3x Solving 43 + 2x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 43 + 2x + -3x = 21 + 3x + -3x Combine like terms: 2x + -3x = -1x 43 + -1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 43 + -1x = 21 + 0 43 + -1x = 21 Add '-43' to each side of the equation. 43 + -43 + -1x = 21 + -43 Combine like terms: 43 + -43 = 0 0 + -1x = 21 + -43 -1x = 21 + -43 Combine like terms: 21 + -43 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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