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Simplifying 3x + 7x + -6 = 3x + 5x + 20 Reorder the terms: -6 + 3x + 7x = 3x + 5x + 20 Combine like terms: 3x + 7x = 10x -6 + 10x = 3x + 5x + 20 Reorder the terms: -6 + 10x = 20 + 3x + 5x Combine like terms: 3x + 5x = 8x -6 + 10x = 20 + 8x Solving -6 + 10x = 20 + 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. -6 + 10x + -8x = 20 + 8x + -8x Combine like terms: 10x + -8x = 2x -6 + 2x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 2x = 20 + 0 -6 + 2x = 20 Add '6' to each side of the equation. -6 + 6 + 2x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 20 + 6 2x = 20 + 6 Combine like terms: 20 + 6 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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