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Simplifying 5(x + -4) + 13(x + 10) = 0 Reorder the terms: 5(-4 + x) + 13(x + 10) = 0 (-4 * 5 + x * 5) + 13(x + 10) = 0 (-20 + 5x) + 13(x + 10) = 0 Reorder the terms: -20 + 5x + 13(10 + x) = 0 -20 + 5x + (10 * 13 + x * 13) = 0 -20 + 5x + (130 + 13x) = 0 Reorder the terms: -20 + 130 + 5x + 13x = 0 Combine like terms: -20 + 130 = 110 110 + 5x + 13x = 0 Combine like terms: 5x + 13x = 18x 110 + 18x = 0 Solving 110 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + 18x = 0 + -110 Combine like terms: 110 + -110 = 0 0 + 18x = 0 + -110 18x = 0 + -110 Combine like terms: 0 + -110 = -110 18x = -110 Divide each side by '18'. x = -6.111111111 Simplifying x = -6.111111111
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