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Simplifying 2(x + -5) + 13(x + 10) = 0 Reorder the terms: 2(-5 + x) + 13(x + 10) = 0 (-5 * 2 + x * 2) + 13(x + 10) = 0 (-10 + 2x) + 13(x + 10) = 0 Reorder the terms: -10 + 2x + 13(10 + x) = 0 -10 + 2x + (10 * 13 + x * 13) = 0 -10 + 2x + (130 + 13x) = 0 Reorder the terms: -10 + 130 + 2x + 13x = 0 Combine like terms: -10 + 130 = 120 120 + 2x + 13x = 0 Combine like terms: 2x + 13x = 15x 120 + 15x = 0 Solving 120 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 15x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 15x = 0 + -120 15x = 0 + -120 Combine like terms: 0 + -120 = -120 15x = -120 Divide each side by '15'. x = -8 Simplifying x = -8
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