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Simplifying -38 + 4x = 34 + -2x Solving -38 + 4x = 34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -38 + 4x + 2x = 34 + -2x + 2x Combine like terms: 4x + 2x = 6x -38 + 6x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 -38 + 6x = 34 + 0 -38 + 6x = 34 Add '38' to each side of the equation. -38 + 38 + 6x = 34 + 38 Combine like terms: -38 + 38 = 0 0 + 6x = 34 + 38 6x = 34 + 38 Combine like terms: 34 + 38 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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