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Simplifying 3x + -5 + 9x = 2 + 4x + 9 Reorder the terms: -5 + 3x + 9x = 2 + 4x + 9 Combine like terms: 3x + 9x = 12x -5 + 12x = 2 + 4x + 9 Reorder the terms: -5 + 12x = 2 + 9 + 4x Combine like terms: 2 + 9 = 11 -5 + 12x = 11 + 4x Solving -5 + 12x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 12x + -4x = 11 + 4x + -4x Combine like terms: 12x + -4x = 8x -5 + 8x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 8x = 11 + 0 -5 + 8x = 11 Add '5' to each side of the equation. -5 + 5 + 8x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 11 + 5 8x = 11 + 5 Combine like terms: 11 + 5 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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