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Simplifying 7x + 9x + -84 = 63 + -5x Reorder the terms: -84 + 7x + 9x = 63 + -5x Combine like terms: 7x + 9x = 16x -84 + 16x = 63 + -5x Solving -84 + 16x = 63 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -84 + 16x + 5x = 63 + -5x + 5x Combine like terms: 16x + 5x = 21x -84 + 21x = 63 + -5x + 5x Combine like terms: -5x + 5x = 0 -84 + 21x = 63 + 0 -84 + 21x = 63 Add '84' to each side of the equation. -84 + 84 + 21x = 63 + 84 Combine like terms: -84 + 84 = 0 0 + 21x = 63 + 84 21x = 63 + 84 Combine like terms: 63 + 84 = 147 21x = 147 Divide each side by '21'. x = 7 Simplifying x = 7
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