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Simplifying -17x + -52 = -21x + 88 Reorder the terms: -52 + -17x = -21x + 88 Reorder the terms: -52 + -17x = 88 + -21x Solving -52 + -17x = 88 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -52 + -17x + 21x = 88 + -21x + 21x Combine like terms: -17x + 21x = 4x -52 + 4x = 88 + -21x + 21x Combine like terms: -21x + 21x = 0 -52 + 4x = 88 + 0 -52 + 4x = 88 Add '52' to each side of the equation. -52 + 52 + 4x = 88 + 52 Combine like terms: -52 + 52 = 0 0 + 4x = 88 + 52 4x = 88 + 52 Combine like terms: 88 + 52 = 140 4x = 140 Divide each side by '4'. x = 35 Simplifying x = 35
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