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Simplifying x + 9 = -4x + 39 Reorder the terms: 9 + x = -4x + 39 Reorder the terms: 9 + x = 39 + -4x Solving 9 + x = 39 + -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 + x + 4x = 39 + -4x + 4x Combine like terms: x + 4x = 5x 9 + 5x = 39 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 5x = 39 + 0 9 + 5x = 39 Add '-9' to each side of the equation. 9 + -9 + 5x = 39 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 39 + -9 5x = 39 + -9 Combine like terms: 39 + -9 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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