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Simplifying 4x + 9 = -45 + -5x Reorder the terms: 9 + 4x = -45 + -5x Solving 9 + 4x = -45 + -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 = -45 + -5x + 5x Combine like terms: 4x + 5x = 9x 9 + 9x = -45 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 9x = -45 + 0 9 + 9x = -45 Add '-9' to each side of the equation. 9 + -9 + 9x = -45 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = -45 + -9 9x = -45 + -9 Combine like terms: -45 + -9 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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