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Simplifying 6x + 8x + -84 = 105 + -7x Reorder the terms: -84 + 6x + 8x = 105 + -7x Combine like terms: 6x + 8x = 14x -84 + 14x = 105 + -7x Solving -84 + 14x = 105 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -84 + 14x + 7x = 105 + -7x + 7x Combine like terms: 14x + 7x = 21x -84 + 21x = 105 + -7x + 7x Combine like terms: -7x + 7x = 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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