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Simplifying 4x + 9x + -84 = 105 + -8x Reorder the terms: -84 + 4x + 9x = 105 + -8x Combine like terms: 4x + 9x = 13x -84 + 13x = 105 + -8x Solving -84 + 13x = 105 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -84 + 13x + 8x = 105 + -8x + 8x Combine like terms: 13x + 8x = 21x -84 + 21x = 105 + -8x + 8x Combine like terms: -8x + 8x = 0 -84 + 21x = 105 + 0 -84 + 21x = 105 Add '84' to each side of the equation. -84 + 84 + 21x = 105 + 84 Combine like terms: -84 + 84 = 0 0 + 21x = 105 + 84 21x = 105 + 84 Combine like terms: 105 + 84 = 189 21x = 189 Divide each side by '21'. x = 9 Simplifying x = 9
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