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Simplifying 2(x + 5) + -1(11 + -2x) = 2x Reorder the terms: 2(5 + x) + -1(11 + -2x) = 2x (5 * 2 + x * 2) + -1(11 + -2x) = 2x (10 + 2x) + -1(11 + -2x) = 2x 10 + 2x + (11 * -1 + -2x * -1) = 2x 10 + 2x + (-11 + 2x) = 2x Reorder the terms: 10 + -11 + 2x + 2x = 2x Combine like terms: 10 + -11 = -1 -1 + 2x + 2x = 2x Combine like terms: 2x + 2x = 4x -1 + 4x = 2x Solving -1 + 4x = 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. -1 + 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x -1 + 2x = 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 2x = 0 Add '1' to each side of the equation. -1 + 1 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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