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Simplifying -7(x + 5) + -6(x + 9) = 0 Reorder the terms: -7(5 + x) + -6(x + 9) = 0 (5 * -7 + x * -7) + -6(x + 9) = 0 (-35 + -7x) + -6(x + 9) = 0 Reorder the terms: -35 + -7x + -6(9 + x) = 0 -35 + -7x + (9 * -6 + x * -6) = 0 -35 + -7x + (-54 + -6x) = 0 Reorder the terms: -35 + -54 + -7x + -6x = 0 Combine like terms: -35 + -54 = -89 -89 + -7x + -6x = 0 Combine like terms: -7x + -6x = -13x -89 + -13x = 0 Solving -89 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '89' to each side of the equation. -89 + 89 + -13x = 0 + 89 Combine like terms: -89 + 89 = 0 0 + -13x = 0 + 89 -13x = 0 + 89 Combine like terms: 0 + 89 = 89 -13x = 89 Divide each side by '-13'. x = -6.846153846 Simplifying x = -6.846153846
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