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Simplifying 7x + -5 + 2x = 13 + -3x + 6 Reorder the terms: -5 + 7x + 2x = 13 + -3x + 6 Combine like terms: 7x + 2x = 9x -5 + 9x = 13 + -3x + 6 Reorder the terms: -5 + 9x = 13 + 6 + -3x Combine like terms: 13 + 6 = 19 -5 + 9x = 19 + -3x Solving -5 + 9x = 19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + 9x + 3x = 19 + -3x + 3x Combine like terms: 9x + 3x = 12x -5 + 12x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 12x = 19 + 0 -5 + 12x = 19 Add '5' to each side of the equation. -5 + 5 + 12x = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 19 + 5 12x = 19 + 5 Combine like terms: 19 + 5 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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