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Simplifying 45x + -84 = -63 + 42x Reorder the terms: -84 + 45x = -63 + 42x Solving -84 + 45x = -63 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -84 + 45x + -42x = -63 + 42x + -42x Combine like terms: 45x + -42x = 3x -84 + 3x = -63 + 42x + -42x Combine like terms: 42x + -42x = 0 -84 + 3x = -63 + 0 -84 + 3x = -63 Add '84' to each side of the equation. -84 + 84 + 3x = -63 + 84 Combine like terms: -84 + 84 = 0 0 + 3x = -63 + 84 3x = -63 + 84 Combine like terms: -63 + 84 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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