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Simplifying 2(8x + 2) = -17 + -2x + -3x Reorder the terms: 2(2 + 8x) = -17 + -2x + -3x (2 * 2 + 8x * 2) = -17 + -2x + -3x (4 + 16x) = -17 + -2x + -3x Combine like terms: -2x + -3x = -5x 4 + 16x = -17 + -5x Solving 4 + 16x = -17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 16x + 5x = -17 + -5x + 5x Combine like terms: 16x + 5x = 21x 4 + 21x = -17 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 21x = -17 + 0 4 + 21x = -17 Add '-4' to each side of the equation. 4 + -4 + 21x = -17 + -4 Combine like terms: 4 + -4 = 0 0 + 21x = -17 + -4 21x = -17 + -4 Combine like terms: -17 + -4 = -21 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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