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Simplifying 6x + -5 + 6x = 4x + 34 + -5x Reorder the terms: -5 + 6x + 6x = 4x + 34 + -5x Combine like terms: 6x + 6x = 12x -5 + 12x = 4x + 34 + -5x Reorder the terms: -5 + 12x = 34 + 4x + -5x Combine like terms: 4x + -5x = -1x -5 + 12x = 34 + -1x Solving -5 + 12x = 34 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 12x + x = 34 + -1x + x Combine like terms: 12x + x = 13x -5 + 13x = 34 + -1x + x Combine like terms: -1x + x = 0 -5 + 13x = 34 + 0 -5 + 13x = 34 Add '5' to each side of the equation. -5 + 5 + 13x = 34 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 34 + 5 13x = 34 + 5 Combine like terms: 34 + 5 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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