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