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Simplifying 7x + 38 = 3x + 2 Reorder the terms: 38 + 7x = 3x + 2 Reorder the terms: 38 + 7x = 2 + 3x Solving 38 + 7x = 2 + 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 + 7x + -3x = 2 + 3x + -3x Combine like terms: 7x + -3x = 4x 38 + 4x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + 4x = 2 + 0 38 + 4x = 2 Add '-38' to each side of the equation. 38 + -38 + 4x = 2 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = 2 + -38 4x = 2 + -38 Combine like terms: 2 + -38 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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