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Simplifying 13x + -9 = 7x + 5x + 6 Reorder the terms: -9 + 13x = 7x + 5x + 6 Reorder the terms: -9 + 13x = 6 + 7x + 5x Combine like terms: 7x + 5x = 12x -9 + 13x = 6 + 12x Solving -9 + 13x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + 13x + -12x = 6 + 12x + -12x Combine like terms: 13x + -12x = 1x -9 + 1x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + 1x = 6 + 0 -9 + 1x = 6 Add '9' to each side of the equation. -9 + 9 + 1x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 6 + 9 1x = 6 + 9 Combine like terms: 6 + 9 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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