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Simplifying 4(x + -6) + 13(x + 8) = 0 Reorder the terms: 4(-6 + x) + 13(x + 8) = 0 (-6 * 4 + x * 4) + 13(x + 8) = 0 (-24 + 4x) + 13(x + 8) = 0 Reorder the terms: -24 + 4x + 13(8 + x) = 0 -24 + 4x + (8 * 13 + x * 13) = 0 -24 + 4x + (104 + 13x) = 0 Reorder the terms: -24 + 104 + 4x + 13x = 0 Combine like terms: -24 + 104 = 80 80 + 4x + 13x = 0 Combine like terms: 4x + 13x = 17x 80 + 17x = 0 Solving 80 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 17x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 17x = 0 + -80 17x = 0 + -80 Combine like terms: 0 + -80 = -80 17x = -80 Divide each side by '17'. x = -4.705882353 Simplifying x = -4.705882353
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