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Simplifying 3x + -38 = 2x + 17 Reorder the terms: -38 + 3x = 2x + 17 Reorder the terms: -38 + 3x = 17 + 2x Solving -38 + 3x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38 + 3x + -2x = 17 + 2x + -2x Combine like terms: 3x + -2x = 1x -38 + 1x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 1x = 17 + 0 -38 + 1x = 17 Add '38' to each side of the equation. -38 + 38 + 1x = 17 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = 17 + 38 1x = 17 + 38 Combine like terms: 17 + 38 = 55 1x = 55 Divide each side by '1'. x = 55 Simplifying x = 55
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