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Simplifying 5x + 38 = x + -52 Reorder the terms: 38 + 5x = x + -52 Reorder the terms: 38 + 5x = -52 + x Solving 38 + 5x = -52 + 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. 38 + 5x + -1x = -52 + x + -1x Combine like terms: 5x + -1x = 4x 38 + 4x = -52 + x + -1x Combine like terms: x + -1x = 0 38 + 4x = -52 + 0 38 + 4x = -52 Add '-38' to each side of the equation. 38 + -38 + 4x = -52 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = -52 + -38 4x = -52 + -38 Combine like terms: -52 + -38 = -90 4x = -90 Divide each side by '4'. x = -22.5 Simplifying x = -22.5
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