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Simplifying 3x + 8 = -42 + -7x Reorder the terms: 8 + 3x = -42 + -7x Solving 8 + 3x = -42 + -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. 8 + 3x + 7x = -42 + -7x + 7x Combine like terms: 3x + 7x = 10x 8 + 10x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 10x = -42 + 0 8 + 10x = -42 Add '-8' to each side of the equation. 8 + -8 + 10x = -42 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -42 + -8 10x = -42 + -8 Combine like terms: -42 + -8 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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