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Simplifying 5x + -43 = 3x + 21 Reorder the terms: -43 + 5x = 3x + 21 Reorder the terms: -43 + 5x = 21 + 3x Solving -43 + 5x = 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 + 5x + -3x = 21 + 3x + -3x Combine like terms: 5x + -3x = 2x -43 + 2x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -43 + 2x = 21 + 0 -43 + 2x = 21 Add '43' to each side of the equation. -43 + 43 + 2x = 21 + 43 Combine like terms: -43 + 43 = 0 0 + 2x = 21 + 43 2x = 21 + 43 Combine like terms: 21 + 43 = 64 2x = 64 Divide each side by '2'. x = 32 Simplifying x = 32
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