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Simplifying 8x + -1(2x + 5) = 4x + -17 Reorder the terms: 8x + -1(5 + 2x) = 4x + -17 8x + (5 * -1 + 2x * -1) = 4x + -17 8x + (-5 + -2x) = 4x + -17 Reorder the terms: -5 + 8x + -2x = 4x + -17 Combine like terms: 8x + -2x = 6x -5 + 6x = 4x + -17 Reorder the terms: -5 + 6x = -17 + 4x Solving -5 + 6x = -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. -5 + 6x + -4x = -17 + 4x + -4x Combine like terms: 6x + -4x = 2x -5 + 2x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 2x = -17 + 0 -5 + 2x = -17 Add '5' to each side of the equation. -5 + 5 + 2x = -17 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -17 + 5 2x = -17 + 5 Combine like terms: -17 + 5 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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