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Simplifying 45x + 44 = -9(4x + 6) + -17x Reorder the terms: 44 + 45x = -9(4x + 6) + -17x Reorder the terms: 44 + 45x = -9(6 + 4x) + -17x 44 + 45x = (6 * -9 + 4x * -9) + -17x 44 + 45x = (-54 + -36x) + -17x Combine like terms: -36x + -17x = -53x 44 + 45x = -54 + -53x Solving 44 + 45x = -54 + -53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53x' to each side of the equation. 44 + 45x + 53x = -54 + -53x + 53x Combine like terms: 45x + 53x = 98x 44 + 98x = -54 + -53x + 53x Combine like terms: -53x + 53x = 0 44 + 98x = -54 + 0 44 + 98x = -54 Add '-44' to each side of the equation. 44 + -44 + 98x = -54 + -44 Combine like terms: 44 + -44 = 0 0 + 98x = -54 + -44 98x = -54 + -44 Combine like terms: -54 + -44 = -98 98x = -98 Divide each side by '98'. x = -1 Simplifying x = -1
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