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Simplifying X + 17 + 4x = -48 + -4x + -52 Reorder the terms: 17 + X + 4x = -48 + -4x + -52 Reorder the terms: 17 + X + 4x = -48 + -52 + -4x Combine like terms: -48 + -52 = -100 17 + X + 4x = -100 + -4x Solving 17 + X + 4x = -100 + -4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + X + -17 + 4x = -100 + -17 + -4x Reorder the terms: 17 + -17 + X + 4x = -100 + -17 + -4x Combine like terms: 17 + -17 = 0 0 + X + 4x = -100 + -17 + -4x X + 4x = -100 + -17 + -4x Combine like terms: -100 + -17 = -117 X + 4x = -117 + -4x Add '-4x' to each side of the equation. X + 4x + -4x = -117 + -4x + -4x Combine like terms: 4x + -4x = 0 X + 0 = -117 + -4x + -4x X = -117 + -4x + -4x Combine like terms: -4x + -4x = -8x X = -117 + -8x Simplifying X = -117 + -8x
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