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Simplifying 6x + 8x + -21 = 42 + -7x Reorder the terms: -21 + 6x + 8x = 42 + -7x Combine like terms: 6x + 8x = 14x -21 + 14x = 42 + -7x Solving -21 + 14x = 42 + -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 = 42 + -7x + 7x Combine like terms: 14x + 7x = 21x -21 + 21x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 -21 + 21x = 42 + 0 -21 + 21x = 42 Add '21' to each side of the equation. -21 + 21 + 21x = 42 + 21 Combine like terms: -21 + 21 = 0 0 + 21x = 42 + 21 21x = 42 + 21 Combine like terms: 42 + 21 = 63 21x = 63 Divide each side by '21'. x = 3 Simplifying x = 3
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