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Simplifying 6(x + -2) + 13(x + 11) = 0 Reorder the terms: 6(-2 + x) + 13(x + 11) = 0 (-2 * 6 + x * 6) + 13(x + 11) = 0 (-12 + 6x) + 13(x + 11) = 0 Reorder the terms: -12 + 6x + 13(11 + x) = 0 -12 + 6x + (11 * 13 + x * 13) = 0 -12 + 6x + (143 + 13x) = 0 Reorder the terms: -12 + 143 + 6x + 13x = 0 Combine like terms: -12 + 143 = 131 131 + 6x + 13x = 0 Combine like terms: 6x + 13x = 19x 131 + 19x = 0 Solving 131 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-131' to each side of the equation. 131 + -131 + 19x = 0 + -131 Combine like terms: 131 + -131 = 0 0 + 19x = 0 + -131 19x = 0 + -131 Combine like terms: 0 + -131 = -131 19x = -131 Divide each side by '19'. x = -6.894736842 Simplifying x = -6.894736842
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