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Simplifying 9x + -5 + 3x = 2x + 4x + 13 Reorder the terms: -5 + 9x + 3x = 2x + 4x + 13 Combine like terms: 9x + 3x = 12x -5 + 12x = 2x + 4x + 13 Reorder the terms: -5 + 12x = 13 + 2x + 4x Combine like terms: 2x + 4x = 6x -5 + 12x = 13 + 6x Solving -5 + 12x = 13 + 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. -5 + 12x + -6x = 13 + 6x + -6x Combine like terms: 12x + -6x = 6x -5 + 6x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 6x = 13 + 0 -5 + 6x = 13 Add '5' to each side of the equation. -5 + 5 + 6x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 13 + 5 6x = 13 + 5 Combine like terms: 13 + 5 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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