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Simplifying 2x + 4 + 5x + -12 = 6x + 34 Reorder the terms: 4 + -12 + 2x + 5x = 6x + 34 Combine like terms: 4 + -12 = -8 -8 + 2x + 5x = 6x + 34 Combine like terms: 2x + 5x = 7x -8 + 7x = 6x + 34 Reorder the terms: -8 + 7x = 34 + 6x Solving -8 + 7x = 34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 7x + -6x = 34 + 6x + -6x Combine like terms: 7x + -6x = 1x -8 + 1x = 34 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 1x = 34 + 0 -8 + 1x = 34 Add '8' to each side of the equation. -8 + 8 + 1x = 34 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 34 + 8 1x = 34 + 8 Combine like terms: 34 + 8 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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