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Simplifying 8x + -1(6x + 5) = 3x + -17 Reorder the terms: 8x + -1(5 + 6x) = 3x + -17 8x + (5 * -1 + 6x * -1) = 3x + -17 8x + (-5 + -6x) = 3x + -17 Reorder the terms: -5 + 8x + -6x = 3x + -17 Combine like terms: 8x + -6x = 2x -5 + 2x = 3x + -17 Reorder the terms: -5 + 2x = -17 + 3x Solving -5 + 2x = -17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 2x + -3x = -17 + 3x + -3x Combine like terms: 2x + -3x = -1x -5 + -1x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -1x = -17 + 0 -5 + -1x = -17 Add '5' to each side of the equation. -5 + 5 + -1x = -17 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -17 + 5 -1x = -17 + 5 Combine like terms: -17 + 5 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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