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Simplifying 3x + 5x + -2x + 7 = 38 Reorder the terms: 7 + 3x + 5x + -2x = 38 Combine like terms: 3x + 5x = 8x 7 + 8x + -2x = 38 Combine like terms: 8x + -2x = 6x 7 + 6x = 38 Solving 7 + 6x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6x = 38 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 38 + -7 6x = 38 + -7 Combine like terms: 38 + -7 = 31 6x = 31 Divide each side by '6'. x = 5.166666667 Simplifying x = 5.166666667
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