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Simplifying 3x + -4 + -3x + 38 = 4x + 2 Reorder the terms: -4 + 38 + 3x + -3x = 4x + 2 Combine like terms: -4 + 38 = 34 34 + 3x + -3x = 4x + 2 Combine like terms: 3x + -3x = 0 34 + 0 = 4x + 2 34 = 4x + 2 Reorder the terms: 34 = 2 + 4x Solving 34 = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 34 + -4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 34 + -4x = 2 + 0 34 + -4x = 2 Add '-34' to each side of the equation. 34 + -34 + -4x = 2 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = 2 + -34 -4x = 2 + -34 Combine like terms: 2 + -34 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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