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Simplifying 42x + -126 = 7x + -21 Reorder the terms: -126 + 42x = 7x + -21 Reorder the terms: -126 + 42x = -21 + 7x Solving -126 + 42x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -126 + 42x + -7x = -21 + 7x + -7x Combine like terms: 42x + -7x = 35x -126 + 35x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -126 + 35x = -21 + 0 -126 + 35x = -21 Add '126' to each side of the equation. -126 + 126 + 35x = -21 + 126 Combine like terms: -126 + 126 = 0 0 + 35x = -21 + 126 35x = -21 + 126 Combine like terms: -21 + 126 = 105 35x = 105 Divide each side by '35'. x = 3 Simplifying x = 3
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