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Simplifying -52 + 4x = 38 + -1x Solving -52 + 4x = 38 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -52 + 4x + x = 38 + -1x + x Combine like terms: 4x + x = 5x -52 + 5x = 38 + -1x + x Combine like terms: -1x + x = 0 -52 + 5x = 38 + 0 -52 + 5x = 38 Add '52' to each side of the equation. -52 + 52 + 5x = 38 + 52 Combine like terms: -52 + 52 = 0 0 + 5x = 38 + 52 5x = 38 + 52 Combine like terms: 38 + 52 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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