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Simplifying -4 + -6x + -17 + 12x = 3 + -9x + 6 Reorder the terms: -4 + -17 + -6x + 12x = 3 + -9x + 6 Combine like terms: -4 + -17 = -21 -21 + -6x + 12x = 3 + -9x + 6 Combine like terms: -6x + 12x = 6x -21 + 6x = 3 + -9x + 6 Reorder the terms: -21 + 6x = 3 + 6 + -9x Combine like terms: 3 + 6 = 9 -21 + 6x = 9 + -9x Solving -21 + 6x = 9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -21 + 6x + 9x = 9 + -9x + 9x Combine like terms: 6x + 9x = 15x -21 + 15x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 -21 + 15x = 9 + 0 -21 + 15x = 9 Add '21' to each side of the equation. -21 + 21 + 15x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 15x = 9 + 21 15x = 9 + 21 Combine like terms: 9 + 21 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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