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Simplifying -34 + 6x = 2x + 74 Reorder the terms: -34 + 6x = 74 + 2x Solving -34 + 6x = 74 + 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. -34 + 6x + -2x = 74 + 2x + -2x Combine like terms: 6x + -2x = 4x -34 + 4x = 74 + 2x + -2x Combine like terms: 2x + -2x = 0 -34 + 4x = 74 + 0 -34 + 4x = 74 Add '34' to each side of the equation. -34 + 34 + 4x = 74 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = 74 + 34 4x = 74 + 34 Combine like terms: 74 + 34 = 108 4x = 108 Divide each side by '4'. x = 27 Simplifying x = 27
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