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Simplifying 38 + -6x = 3x + 16 Reorder the terms: 38 + -6x = 16 + 3x Solving 38 + -6x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 38 + -6x + -3x = 16 + 3x + -3x Combine like terms: -6x + -3x = -9x 38 + -9x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + -9x = 16 + 0 38 + -9x = 16 Add '-38' to each side of the equation. 38 + -38 + -9x = 16 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = 16 + -38 -9x = 16 + -38 Combine like terms: 16 + -38 = -22 -9x = -22 Divide each side by '-9'. x = 2.444444444 Simplifying x = 2.444444444
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