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Simplifying 6(x + -3) + 13(x + 10) = 0 Reorder the terms: 6(-3 + x) + 13(x + 10) = 0 (-3 * 6 + x * 6) + 13(x + 10) = 0 (-18 + 6x) + 13(x + 10) = 0 Reorder the terms: -18 + 6x + 13(10 + x) = 0 -18 + 6x + (10 * 13 + x * 13) = 0 -18 + 6x + (130 + 13x) = 0 Reorder the terms: -18 + 130 + 6x + 13x = 0 Combine like terms: -18 + 130 = 112 112 + 6x + 13x = 0 Combine like terms: 6x + 13x = 19x 112 + 19x = 0 Solving 112 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + 19x = 0 + -112 Combine like terms: 112 + -112 = 0 0 + 19x = 0 + -112 19x = 0 + -112 Combine like terms: 0 + -112 = -112 19x = -112 Divide each side by '19'. x = -5.894736842 Simplifying x = -5.894736842
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