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Simplifying 4x + 9 = -5x + 36 Reorder the terms: 9 + 4x = -5x + 36 Reorder the terms: 9 + 4x = 36 + -5x Solving 9 + 4x = 36 + -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. 9 + 4x + 5x = 36 + -5x + 5x Combine like terms: 4x + 5x = 9x 9 + 9x = 36 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 9x = 36 + 0 9 + 9x = 36 Add '-9' to each side of the equation. 9 + -9 + 9x = 36 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 36 + -9 9x = 36 + -9 Combine like terms: 36 + -9 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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