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Simplifying -6 = 4x + 9 + -7x Reorder the terms: -6 = 9 + 4x + -7x Combine like terms: 4x + -7x = -3x -6 = 9 + -3x Solving -6 = 9 + -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. -6 + 3x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 3x = 9 + 0 -6 + 3x = 9 Add '6' to each side of the equation. -6 + 6 + 3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 9 + 6 3x = 9 + 6 Combine like terms: 9 + 6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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