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Simplifying 2x + 43 = 5x + 13 Reorder the terms: 43 + 2x = 5x + 13 Reorder the terms: 43 + 2x = 13 + 5x Solving 43 + 2x = 13 + 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. 43 + 2x + -5x = 13 + 5x + -5x Combine like terms: 2x + -5x = -3x 43 + -3x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + -3x = 13 + 0 43 + -3x = 13 Add '-43' to each side of the equation. 43 + -43 + -3x = 13 + -43 Combine like terms: 43 + -43 = 0 0 + -3x = 13 + -43 -3x = 13 + -43 Combine like terms: 13 + -43 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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