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Simplifying 6 + -2(x + -8) = 17 + -3x Reorder the terms: 6 + -2(-8 + x) = 17 + -3x 6 + (-8 * -2 + x * -2) = 17 + -3x 6 + (16 + -2x) = 17 + -3x Combine like terms: 6 + 16 = 22 22 + -2x = 17 + -3x Solving 22 + -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. 22 + -2x + 3x = 17 + -3x + 3x Combine like terms: -2x + 3x = 1x 22 + 1x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + 1x = 17 + 0 22 + 1x = 17 Add '-22' to each side of the equation. 22 + -22 + 1x = 17 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 17 + -22 1x = 17 + -22 Combine like terms: 17 + -22 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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