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Simplifying 6 + 4(x + -8) = -17 + -5x Reorder the terms: 6 + 4(-8 + x) = -17 + -5x 6 + (-8 * 4 + x * 4) = -17 + -5x 6 + (-32 + 4x) = -17 + -5x Combine like terms: 6 + -32 = -26 -26 + 4x = -17 + -5x Solving -26 + 4x = -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. -26 + 4x + 5x = -17 + -5x + 5x Combine like terms: 4x + 5x = 9x -26 + 9x = -17 + -5x + 5x Combine like terms: -5x + 5x = 0 -26 + 9x = -17 + 0 -26 + 9x = -17 Add '26' to each side of the equation. -26 + 26 + 9x = -17 + 26 Combine like terms: -26 + 26 = 0 0 + 9x = -17 + 26 9x = -17 + 26 Combine like terms: -17 + 26 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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