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Simplifying x + -2x + 4x + 25 = -2x + 3x + 38 Reorder the terms: 25 + x + -2x + 4x = -2x + 3x + 38 Combine like terms: x + -2x = -1x 25 + -1x + 4x = -2x + 3x + 38 Combine like terms: -1x + 4x = 3x 25 + 3x = -2x + 3x + 38 Reorder the terms: 25 + 3x = 38 + -2x + 3x Combine like terms: -2x + 3x = 1x 25 + 3x = 38 + 1x Solving 25 + 3x = 38 + 1x 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. 25 + 3x + -1x = 38 + 1x + -1x Combine like terms: 3x + -1x = 2x 25 + 2x = 38 + 1x + -1x Combine like terms: 1x + -1x = 0 25 + 2x = 38 + 0 25 + 2x = 38 Add '-25' to each side of the equation. 25 + -25 + 2x = 38 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 38 + -25 2x = 38 + -25 Combine like terms: 38 + -25 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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