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Simplifying 9x + -2(3 + -2x) = 5(x + -4) + -26 9x + (3 * -2 + -2x * -2) = 5(x + -4) + -26 9x + (-6 + 4x) = 5(x + -4) + -26 Reorder the terms: -6 + 9x + 4x = 5(x + -4) + -26 Combine like terms: 9x + 4x = 13x -6 + 13x = 5(x + -4) + -26 Reorder the terms: -6 + 13x = 5(-4 + x) + -26 -6 + 13x = (-4 * 5 + x * 5) + -26 -6 + 13x = (-20 + 5x) + -26 Reorder the terms: -6 + 13x = -20 + -26 + 5x Combine like terms: -20 + -26 = -46 -6 + 13x = -46 + 5x Solving -6 + 13x = -46 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 13x + -5x = -46 + 5x + -5x Combine like terms: 13x + -5x = 8x -6 + 8x = -46 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 8x = -46 + 0 -6 + 8x = -46 Add '6' to each side of the equation. -6 + 6 + 8x = -46 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -46 + 6 8x = -46 + 6 Combine like terms: -46 + 6 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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