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Simplifying 8x + -1(9x + 2) = 4x + -17 Reorder the terms: 8x + -1(2 + 9x) = 4x + -17 8x + (2 * -1 + 9x * -1) = 4x + -17 8x + (-2 + -9x) = 4x + -17 Reorder the terms: -2 + 8x + -9x = 4x + -17 Combine like terms: 8x + -9x = -1x -2 + -1x = 4x + -17 Reorder the terms: -2 + -1x = -17 + 4x Solving -2 + -1x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + -1x + -4x = -17 + 4x + -4x Combine like terms: -1x + -4x = -5x -2 + -5x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -5x = -17 + 0 -2 + -5x = -17 Add '2' to each side of the equation. -2 + 2 + -5x = -17 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -17 + 2 -5x = -17 + 2 Combine like terms: -17 + 2 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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