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Simplifying -5x + 11 = 2(2x + 1) Reorder the terms: 11 + -5x = 2(2x + 1) Reorder the terms: 11 + -5x = 2(1 + 2x) 11 + -5x = (1 * 2 + 2x * 2) 11 + -5x = (2 + 4x) Solving 11 + -5x = 2 + 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 + -5x + -4x = 2 + 4x + -4x Combine like terms: -5x + -4x = -9x 11 + -9x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -9x = 2 + 0 11 + -9x = 2 Add '-11' to each side of the equation. 11 + -11 + -9x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + -9x = 2 + -11 -9x = 2 + -11 Combine like terms: 2 + -11 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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