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