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Simplifying 5x + 9x + -84 = 42 + -7x Reorder the terms: -84 + 5x + 9x = 42 + -7x Combine like terms: 5x + 9x = 14x -84 + 14x = 42 + -7x Solving -84 + 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. -84 + 14x + 7x = 42 + -7x + 7x Combine like terms: 14x + 7x = 21x -84 + 21x = 42 + -7x + 7x Combine like terms: -7x + 7x = 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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