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Simplifying 8x + 7x + -6 = 13x + 14 Reorder the terms: -6 + 8x + 7x = 13x + 14 Combine like terms: 8x + 7x = 15x -6 + 15x = 13x + 14 Reorder the terms: -6 + 15x = 14 + 13x Solving -6 + 15x = 14 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -6 + 15x + -13x = 14 + 13x + -13x Combine like terms: 15x + -13x = 2x -6 + 2x = 14 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + 2x = 14 + 0 -6 + 2x = 14 Add '6' to each side of the equation. -6 + 6 + 2x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 14 + 6 2x = 14 + 6 Combine like terms: 14 + 6 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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