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Simplifying 5x + 2x + 34 = 6x + 85 Reorder the terms: 34 + 5x + 2x = 6x + 85 Combine like terms: 5x + 2x = 7x 34 + 7x = 6x + 85 Reorder the terms: 34 + 7x = 85 + 6x Solving 34 + 7x = 85 + 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. 34 + 7x + -6x = 85 + 6x + -6x Combine like terms: 7x + -6x = 1x 34 + 1x = 85 + 6x + -6x Combine like terms: 6x + -6x = 0 34 + 1x = 85 + 0 34 + 1x = 85 Add '-34' to each side of the equation. 34 + -34 + 1x = 85 + -34 Combine like terms: 34 + -34 = 0 0 + 1x = 85 + -34 1x = 85 + -34 Combine like terms: 85 + -34 = 51 1x = 51 Divide each side by '1'. x = 51 Simplifying x = 51
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