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Simplifying 5(x + 11) + 2(2x + -5) = 0 Reorder the terms: 5(11 + x) + 2(2x + -5) = 0 (11 * 5 + x * 5) + 2(2x + -5) = 0 (55 + 5x) + 2(2x + -5) = 0 Reorder the terms: 55 + 5x + 2(-5 + 2x) = 0 55 + 5x + (-5 * 2 + 2x * 2) = 0 55 + 5x + (-10 + 4x) = 0 Reorder the terms: 55 + -10 + 5x + 4x = 0 Combine like terms: 55 + -10 = 45 45 + 5x + 4x = 0 Combine like terms: 5x + 4x = 9x 45 + 9x = 0 Solving 45 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = 0 + -45 9x = 0 + -45 Combine like terms: 0 + -45 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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