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Simplifying 8x + 4x + -84 = 42 + -9x Reorder the terms: -84 + 8x + 4x = 42 + -9x Combine like terms: 8x + 4x = 12x -84 + 12x = 42 + -9x Solving -84 + 12x = 42 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -84 + 12x + 9x = 42 + -9x + 9x Combine like terms: 12x + 9x = 21x -84 + 21x = 42 + -9x + 9x Combine like terms: -9x + 9x = 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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