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Simplifying 8x + -1(3x + 2) = 9x + -26 Reorder the terms: 8x + -1(2 + 3x) = 9x + -26 8x + (2 * -1 + 3x * -1) = 9x + -26 8x + (-2 + -3x) = 9x + -26 Reorder the terms: -2 + 8x + -3x = 9x + -26 Combine like terms: 8x + -3x = 5x -2 + 5x = 9x + -26 Reorder the terms: -2 + 5x = -26 + 9x Solving -2 + 5x = -26 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 5x + -9x = -26 + 9x + -9x Combine like terms: 5x + -9x = -4x -2 + -4x = -26 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -4x = -26 + 0 -2 + -4x = -26 Add '2' to each side of the equation. -2 + 2 + -4x = -26 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -26 + 2 -4x = -26 + 2 Combine like terms: -26 + 2 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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