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Simplifying 2x + 43 = 5x + 11 Reorder the terms: 43 + 2x = 5x + 11 Reorder the terms: 43 + 2x = 11 + 5x Solving 43 + 2x = 11 + 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 = 11 + 5x + -5x Combine like terms: 2x + -5x = -3x 43 + -3x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + -3x = 11 + 0 43 + -3x = 11 Add '-43' to each side of the equation. 43 + -43 + -3x = 11 + -43 Combine like terms: 43 + -43 = 0 0 + -3x = 11 + -43 -3x = 11 + -43 Combine like terms: 11 + -43 = -32 -3x = -32 Divide each side by '-3'. x = 10.66666667 Simplifying x = 10.66666667
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