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