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Simplifying 6x + 9x + -21 = 105 + -6x Reorder the terms: -21 + 6x + 9x = 105 + -6x Combine like terms: 6x + 9x = 15x -21 + 15x = 105 + -6x Solving -21 + 15x = 105 + -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. -21 + 15x + 6x = 105 + -6x + 6x Combine like terms: 15x + 6x = 21x -21 + 21x = 105 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 21x = 105 + 0 -21 + 21x = 105 Add '21' to each side of the equation. -21 + 21 + 21x = 105 + 21 Combine like terms: -21 + 21 = 0 0 + 21x = 105 + 21 21x = 105 + 21 Combine like terms: 105 + 21 = 126 21x = 126 Divide each side by '21'. x = 6 Simplifying x = 6
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