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Simplifying 11 + -5(x + -2) + 2(3 + -2x) = 0 Reorder the terms: 11 + -5(-2 + x) + 2(3 + -2x) = 0 11 + (-2 * -5 + x * -5) + 2(3 + -2x) = 0 11 + (10 + -5x) + 2(3 + -2x) = 0 11 + 10 + -5x + (3 * 2 + -2x * 2) = 0 11 + 10 + -5x + (6 + -4x) = 0 Reorder the terms: 11 + 10 + 6 + -5x + -4x = 0 Combine like terms: 11 + 10 = 21 21 + 6 + -5x + -4x = 0 Combine like terms: 21 + 6 = 27 27 + -5x + -4x = 0 Combine like terms: -5x + -4x = -9x 27 + -9x = 0 Solving 27 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -9x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -9x = 0 + -27 -9x = 0 + -27 Combine like terms: 0 + -27 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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