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Simplifying 7x + -3x + 2 = 5 + -2x + 9 Reorder the terms: 2 + 7x + -3x = 5 + -2x + 9 Combine like terms: 7x + -3x = 4x 2 + 4x = 5 + -2x + 9 Reorder the terms: 2 + 4x = 5 + 9 + -2x Combine like terms: 5 + 9 = 14 2 + 4x = 14 + -2x Solving 2 + 4x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 4x + 2x = 14 + -2x + 2x Combine like terms: 4x + 2x = 6x 2 + 6x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 6x = 14 + 0 2 + 6x = 14 Add '-2' to each side of the equation. 2 + -2 + 6x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 14 + -2 6x = 14 + -2 Combine like terms: 14 + -2 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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