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Simplifying 6x + -1(8X + 9) = 2x + -17 Reorder the terms: 6x + -1(9 + 8X) = 2x + -17 6x + (9 * -1 + 8X * -1) = 2x + -17 6x + (-9 + -8X) = 2x + -17 Reorder the terms: -9 + -8X + 6x = 2x + -17 Reorder the terms: -9 + -8X + 6x = -17 + 2x Solving -9 + -8X + 6x = -17 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -8X + 9 + 6x = -17 + 9 + 2x Reorder the terms: -9 + 9 + -8X + 6x = -17 + 9 + 2x Combine like terms: -9 + 9 = 0 0 + -8X + 6x = -17 + 9 + 2x -8X + 6x = -17 + 9 + 2x Combine like terms: -17 + 9 = -8 -8X + 6x = -8 + 2x Add '-6x' to each side of the equation. -8X + 6x + -6x = -8 + 2x + -6x Combine like terms: 6x + -6x = 0 -8X + 0 = -8 + 2x + -6x -8X = -8 + 2x + -6x Combine like terms: 2x + -6x = -4x -8X = -8 + -4x Divide each side by '-8'. X = 1 + 0.5x Simplifying X = 1 + 0.5x
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