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Simplifying -5(x + 17) = -39 + -4x Reorder the terms: -5(17 + x) = -39 + -4x (17 * -5 + x * -5) = -39 + -4x (-85 + -5x) = -39 + -4x Solving -85 + -5x = -39 + -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. -85 + -5x + 4x = -39 + -4x + 4x Combine like terms: -5x + 4x = -1x -85 + -1x = -39 + -4x + 4x Combine like terms: -4x + 4x = 0 -85 + -1x = -39 + 0 -85 + -1x = -39 Add '85' to each side of the equation. -85 + 85 + -1x = -39 + 85 Combine like terms: -85 + 85 = 0 0 + -1x = -39 + 85 -1x = -39 + 85 Combine like terms: -39 + 85 = 46 -1x = 46 Divide each side by '-1'. x = -46 Simplifying x = -46
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