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Simplifying -52 + 4x = 17 + x Solving -52 + 4x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -52 + 4x + -1x = 17 + x + -1x Combine like terms: 4x + -1x = 3x -52 + 3x = 17 + x + -1x Combine like terms: x + -1x = 0 -52 + 3x = 17 + 0 -52 + 3x = 17 Add '52' to each side of the equation. -52 + 52 + 3x = 17 + 52 Combine like terms: -52 + 52 = 0 0 + 3x = 17 + 52 3x = 17 + 52 Combine like terms: 17 + 52 = 69 3x = 69 Divide each side by '3'. x = 23 Simplifying x = 23
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