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Simplifying 3(x + -6) + 11(x + 7) = 0 Reorder the terms: 3(-6 + x) + 11(x + 7) = 0 (-6 * 3 + x * 3) + 11(x + 7) = 0 (-18 + 3x) + 11(x + 7) = 0 Reorder the terms: -18 + 3x + 11(7 + x) = 0 -18 + 3x + (7 * 11 + x * 11) = 0 -18 + 3x + (77 + 11x) = 0 Reorder the terms: -18 + 77 + 3x + 11x = 0 Combine like terms: -18 + 77 = 59 59 + 3x + 11x = 0 Combine like terms: 3x + 11x = 14x 59 + 14x = 0 Solving 59 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 14x = 0 + -59 Combine like terms: 59 + -59 = 0 0 + 14x = 0 + -59 14x = 0 + -59 Combine like terms: 0 + -59 = -59 14x = -59 Divide each side by '14'. x = -4.214285714 Simplifying x = -4.214285714
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