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Simplifying 45x + 5 = -9x + -54 + 5 Reorder the terms: 5 + 45x = -9x + -54 + 5 Reorder the terms: 5 + 45x = -54 + 5 + -9x Combine like terms: -54 + 5 = -49 5 + 45x = -49 + -9x Solving 5 + 45x = -49 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + 45x + 9x = -49 + -9x + 9x Combine like terms: 45x + 9x = 54x 5 + 54x = -49 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + 54x = -49 + 0 5 + 54x = -49 Add '-5' to each side of the equation. 5 + -5 + 54x = -49 + -5 Combine like terms: 5 + -5 = 0 0 + 54x = -49 + -5 54x = -49 + -5 Combine like terms: -49 + -5 = -54 54x = -54 Divide each side by '54'. x = -1 Simplifying x = -1
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