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