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Simplifying 45x + 21 = 17x + -63 Reorder the terms: 21 + 45x = 17x + -63 Reorder the terms: 21 + 45x = -63 + 17x Solving 21 + 45x = -63 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 21 + 45x + -17x = -63 + 17x + -17x Combine like terms: 45x + -17x = 28x 21 + 28x = -63 + 17x + -17x Combine like terms: 17x + -17x = 0 21 + 28x = -63 + 0 21 + 28x = -63 Add '-21' to each side of the equation. 21 + -21 + 28x = -63 + -21 Combine like terms: 21 + -21 = 0 0 + 28x = -63 + -21 28x = -63 + -21 Combine like terms: -63 + -21 = -84 28x = -84 Divide each side by '28'. x = -3 Simplifying x = -3
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