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Simplifying 3x + 9 + 4x = 2x + -34 + 3 Reorder the terms: 9 + 3x + 4x = 2x + -34 + 3 Combine like terms: 3x + 4x = 7x 9 + 7x = 2x + -34 + 3 Reorder the terms: 9 + 7x = -34 + 3 + 2x Combine like terms: -34 + 3 = -31 9 + 7x = -31 + 2x Solving 9 + 7x = -31 + 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. 9 + 7x + -2x = -31 + 2x + -2x Combine like terms: 7x + -2x = 5x 9 + 5x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 5x = -31 + 0 9 + 5x = -31 Add '-9' to each side of the equation. 9 + -9 + 5x = -31 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = -31 + -9 5x = -31 + -9 Combine like terms: -31 + -9 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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