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Simplifying 6x + 7x + -84 = 42 + -8x Reorder the terms: -84 + 6x + 7x = 42 + -8x Combine like terms: 6x + 7x = 13x -84 + 13x = 42 + -8x Solving -84 + 13x = 42 + -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 = 42 + -8x + 8x Combine like terms: 13x + 8x = 21x -84 + 21x = 42 + -8x + 8x Combine like terms: -8x + 8x = 0 -84 + 21x = 42 + 0 -84 + 21x = 42 Add '84' to each side of the equation. -84 + 84 + 21x = 42 + 84 Combine like terms: -84 + 84 = 0 0 + 21x = 42 + 84 21x = 42 + 84 Combine like terms: 42 + 84 = 126 21x = 126 Divide each side by '21'. x = 6 Simplifying x = 6
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