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Simplifying 7x + 5x + -21 = 84 + -9x Reorder the terms: -21 + 7x + 5x = 84 + -9x Combine like terms: 7x + 5x = 12x -21 + 12x = 84 + -9x Solving -21 + 12x = 84 + -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 + 12x + 9x = 84 + -9x + 9x Combine like terms: 12x + 9x = 21x -21 + 21x = 84 + -9x + 9x Combine like terms: -9x + 9x = 0 -21 + 21x = 84 + 0 -21 + 21x = 84 Add '21' to each side of the equation. -21 + 21 + 21x = 84 + 21 Combine like terms: -21 + 21 = 0 0 + 21x = 84 + 21 21x = 84 + 21 Combine like terms: 84 + 21 = 105 21x = 105 Divide each side by '21'. x = 5 Simplifying x = 5
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