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Simplifying 8x + 6x + -21 = 105 + -7x Reorder the terms: -21 + 8x + 6x = 105 + -7x Combine like terms: 8x + 6x = 14x -21 + 14x = 105 + -7x Solving -21 + 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. -21 + 14x + 7x = 105 + -7x + 7x Combine like terms: 14x + 7x = 21x -21 + 21x = 105 + -7x + 7x Combine like terms: -7x + 7x = 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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