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Simplifying 6x + 9x + -84 = 42 + -6x Reorder the terms: -84 + 6x + 9x = 42 + -6x Combine like terms: 6x + 9x = 15x -84 + 15x = 42 + -6x Solving -84 + 15x = 42 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -84 + 15x + 6x = 42 + -6x + 6x Combine like terms: 15x + 6x = 21x -84 + 21x = 42 + -6x + 6x Combine like terms: -6x + 6x = 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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