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Simplifying 5(x + -2) + 13(x + 11) = 0 Reorder the terms: 5(-2 + x) + 13(x + 11) = 0 (-2 * 5 + x * 5) + 13(x + 11) = 0 (-10 + 5x) + 13(x + 11) = 0 Reorder the terms: -10 + 5x + 13(11 + x) = 0 -10 + 5x + (11 * 13 + x * 13) = 0 -10 + 5x + (143 + 13x) = 0 Reorder the terms: -10 + 143 + 5x + 13x = 0 Combine like terms: -10 + 143 = 133 133 + 5x + 13x = 0 Combine like terms: 5x + 13x = 18x 133 + 18x = 0 Solving 133 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-133' to each side of the equation. 133 + -133 + 18x = 0 + -133 Combine like terms: 133 + -133 = 0 0 + 18x = 0 + -133 18x = 0 + -133 Combine like terms: 0 + -133 = -133 18x = -133 Divide each side by '18'. x = -7.388888889 Simplifying x = -7.388888889
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