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