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Simplifying 3x + 6 = -74 + -7x Reorder the terms: 6 + 3x = -74 + -7x Solving 6 + 3x = -74 + -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. 6 + 3x + 7x = -74 + -7x + 7x Combine like terms: 3x + 7x = 10x 6 + 10x = -74 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 10x = -74 + 0 6 + 10x = -74 Add '-6' to each side of the equation. 6 + -6 + 10x = -74 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = -74 + -6 10x = -74 + -6 Combine like terms: -74 + -6 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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