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