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Simplifying 3x + -9 + 4x + -5x = 15 + 6x Reorder the terms: -9 + 3x + 4x + -5x = 15 + 6x Combine like terms: 3x + 4x = 7x -9 + 7x + -5x = 15 + 6x Combine like terms: 7x + -5x = 2x -9 + 2x = 15 + 6x Solving -9 + 2x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 2x + -6x = 15 + 6x + -6x Combine like terms: 2x + -6x = -4x -9 + -4x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -4x = 15 + 0 -9 + -4x = 15 Add '9' to each side of the equation. -9 + 9 + -4x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 15 + 9 -4x = 15 + 9 Combine like terms: 15 + 9 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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