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Simplifying -5x + 9 = 7x + 21 Reorder the terms: 9 + -5x = 7x + 21 Reorder the terms: 9 + -5x = 21 + 7x Solving 9 + -5x = 21 + 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. 9 + -5x + -7x = 21 + 7x + -7x Combine like terms: -5x + -7x = -12x 9 + -12x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -12x = 21 + 0 9 + -12x = 21 Add '-9' to each side of the equation. 9 + -9 + -12x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = 21 + -9 -12x = 21 + -9 Combine like terms: 21 + -9 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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