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Simplifying 6 + 7x + -2 = 6x + 34 + -4x Reorder the terms: 6 + -2 + 7x = 6x + 34 + -4x Combine like terms: 6 + -2 = 4 4 + 7x = 6x + 34 + -4x Reorder the terms: 4 + 7x = 34 + 6x + -4x Combine like terms: 6x + -4x = 2x 4 + 7x = 34 + 2x Solving 4 + 7x = 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. 4 + 7x + -2x = 34 + 2x + -2x Combine like terms: 7x + -2x = 5x 4 + 5x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 5x = 34 + 0 4 + 5x = 34 Add '-4' to each side of the equation. 4 + -4 + 5x = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 34 + -4 5x = 34 + -4 Combine like terms: 34 + -4 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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