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Simplifying 3x + 9 + -7 = 5x + -2 + 14 Reorder the terms: 9 + -7 + 3x = 5x + -2 + 14 Combine like terms: 9 + -7 = 2 2 + 3x = 5x + -2 + 14 Reorder the terms: 2 + 3x = -2 + 14 + 5x Combine like terms: -2 + 14 = 12 2 + 3x = 12 + 5x Solving 2 + 3x = 12 + 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. 2 + 3x + -5x = 12 + 5x + -5x Combine like terms: 3x + -5x = -2x 2 + -2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2x = 12 + 0 2 + -2x = 12 Add '-2' to each side of the equation. 2 + -2 + -2x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 12 + -2 -2x = 12 + -2 Combine like terms: 12 + -2 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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