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Simplifying 3x + 10 = 38 + -9x Reorder the terms: 10 + 3x = 38 + -9x Solving 10 + 3x = 38 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 10 + 3x + 9x = 38 + -9x + 9x Combine like terms: 3x + 9x = 12x 10 + 12x = 38 + -9x + 9x Combine like terms: -9x + 9x = 0 10 + 12x = 38 + 0 10 + 12x = 38 Add '-10' to each side of the equation. 10 + -10 + 12x = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 38 + -10 12x = 38 + -10 Combine like terms: 38 + -10 = 28 12x = 28 Divide each side by '12'. x = 2.333333333 Simplifying x = 2.333333333
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