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Simplifying x + 4 = -4x + 9 Reorder the terms: 4 + x = -4x + 9 Reorder the terms: 4 + x = 9 + -4x Solving 4 + x = 9 + -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. 4 + x + 4x = 9 + -4x + 4x Combine like terms: x + 4x = 5x 4 + 5x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 5x = 9 + 0 4 + 5x = 9 Add '-4' to each side of the equation. 4 + -4 + 5x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 9 + -4 5x = 9 + -4 Combine like terms: 9 + -4 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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