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Simplifying 3x + 11 = 5x + 7 Reorder the terms: 11 + 3x = 5x + 7 Reorder the terms: 11 + 3x = 7 + 5x Solving 11 + 3x = 7 + 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. 11 + 3x + -5x = 7 + 5x + -5x Combine like terms: 3x + -5x = -2x 11 + -2x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -2x = 7 + 0 11 + -2x = 7 Add '-11' to each side of the equation. 11 + -11 + -2x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 7 + -11 -2x = 7 + -11 Combine like terms: 7 + -11 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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