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Simplifying -6(2x + -5) + 13(x + -4) = -26 + -5 Reorder the terms: -6(-5 + 2x) + 13(x + -4) = -26 + -5 (-5 * -6 + 2x * -6) + 13(x + -4) = -26 + -5 (30 + -12x) + 13(x + -4) = -26 + -5 Reorder the terms: 30 + -12x + 13(-4 + x) = -26 + -5 30 + -12x + (-4 * 13 + x * 13) = -26 + -5 30 + -12x + (-52 + 13x) = -26 + -5 Reorder the terms: 30 + -52 + -12x + 13x = -26 + -5 Combine like terms: 30 + -52 = -22 -22 + -12x + 13x = -26 + -5 Combine like terms: -12x + 13x = 1x -22 + 1x = -26 + -5 Combine like terms: -26 + -5 = -31 -22 + 1x = -31 Solving -22 + 1x = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 1x = -31 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = -31 + 22 1x = -31 + 22 Combine like terms: -31 + 22 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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