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Simplifying 2x + 11 = 3 + 2(2x + 3) Reorder the terms: 11 + 2x = 3 + 2(2x + 3) Reorder the terms: 11 + 2x = 3 + 2(3 + 2x) 11 + 2x = 3 + (3 * 2 + 2x * 2) 11 + 2x = 3 + (6 + 4x) Combine like terms: 3 + 6 = 9 11 + 2x = 9 + 4x Solving 11 + 2x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 11 + 2x + -4x = 9 + 4x + -4x Combine like terms: 2x + -4x = -2x 11 + -2x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -2x = 9 + 0 11 + -2x = 9 Add '-11' to each side of the equation. 11 + -11 + -2x = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 9 + -11 -2x = 9 + -11 Combine like terms: 9 + -11 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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