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Simplifying 6x + -8 + 13x = 7x + x + 14 Reorder the terms: -8 + 6x + 13x = 7x + x + 14 Combine like terms: 6x + 13x = 19x -8 + 19x = 7x + x + 14 Reorder the terms: -8 + 19x = 14 + 7x + x Combine like terms: 7x + x = 8x -8 + 19x = 14 + 8x Solving -8 + 19x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 19x + -8x = 14 + 8x + -8x Combine like terms: 19x + -8x = 11x -8 + 11x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 11x = 14 + 0 -8 + 11x = 14 Add '8' to each side of the equation. -8 + 8 + 11x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 14 + 8 11x = 14 + 8 Combine like terms: 14 + 8 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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