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Simplifying 13x + -6 = 2x + 7 + 5x Reorder the terms: -6 + 13x = 2x + 7 + 5x Reorder the terms: -6 + 13x = 7 + 2x + 5x Combine like terms: 2x + 5x = 7x -6 + 13x = 7 + 7x Solving -6 + 13x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 13x + -7x = 7 + 7x + -7x Combine like terms: 13x + -7x = 6x -6 + 6x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 6x = 7 + 0 -6 + 6x = 7 Add '6' to each side of the equation. -6 + 6 + 6x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 7 + 6 6x = 7 + 6 Combine like terms: 7 + 6 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667
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