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Simplifying 2(2x + 4) + x = 2x + 11 Reorder the terms: 2(4 + 2x) + x = 2x + 11 (4 * 2 + 2x * 2) + x = 2x + 11 (8 + 4x) + x = 2x + 11 Combine like terms: 4x + x = 5x 8 + 5x = 2x + 11 Reorder the terms: 8 + 5x = 11 + 2x Solving 8 + 5x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 5x + -2x = 11 + 2x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 3x = 11 + 0 8 + 3x = 11 Add '-8' to each side of the equation. 8 + -8 + 3x = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 11 + -8 3x = 11 + -8 Combine like terms: 11 + -8 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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