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Simplifying 3x + -38 = 2x + 13 Reorder the terms: -38 + 3x = 2x + 13 Reorder the terms: -38 + 3x = 13 + 2x Solving -38 + 3x = 13 + 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 = 13 + 2x + -2x Combine like terms: 3x + -2x = 1x -38 + 1x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 1x = 13 + 0 -38 + 1x = 13 Add '38' to each side of the equation. -38 + 38 + 1x = 13 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = 13 + 38 1x = 13 + 38 Combine like terms: 13 + 38 = 51 1x = 51 Divide each side by '1'. x = 51 Simplifying x = 51
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