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Simplifying 4(x + -6) + 13(x + 6) = 0 Reorder the terms: 4(-6 + x) + 13(x + 6) = 0 (-6 * 4 + x * 4) + 13(x + 6) = 0 (-24 + 4x) + 13(x + 6) = 0 Reorder the terms: -24 + 4x + 13(6 + x) = 0 -24 + 4x + (6 * 13 + x * 13) = 0 -24 + 4x + (78 + 13x) = 0 Reorder the terms: -24 + 78 + 4x + 13x = 0 Combine like terms: -24 + 78 = 54 54 + 4x + 13x = 0 Combine like terms: 4x + 13x = 17x 54 + 17x = 0 Solving 54 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 17x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 17x = 0 + -54 17x = 0 + -54 Combine like terms: 0 + -54 = -54 17x = -54 Divide each side by '17'. x = -3.176470588 Simplifying x = -3.176470588
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