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Simplifying 7x + 9 + -2x = 20 + 9x + 1 Reorder the terms: 9 + 7x + -2x = 20 + 9x + 1 Combine like terms: 7x + -2x = 5x 9 + 5x = 20 + 9x + 1 Reorder the terms: 9 + 5x = 20 + 1 + 9x Combine like terms: 20 + 1 = 21 9 + 5x = 21 + 9x Solving 9 + 5x = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 9 + 5x + -9x = 21 + 9x + -9x Combine like terms: 5x + -9x = -4x 9 + -4x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + -4x = 21 + 0 9 + -4x = 21 Add '-9' to each side of the equation. 9 + -9 + -4x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 21 + -9 -4x = 21 + -9 Combine like terms: 21 + -9 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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