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Simplifying -7x + -42 = 5x + -30 Reorder the terms: -42 + -7x = 5x + -30 Reorder the terms: -42 + -7x = -30 + 5x Solving -42 + -7x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42 + -7x + -5x = -30 + 5x + -5x Combine like terms: -7x + -5x = -12x -42 + -12x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + -12x = -30 + 0 -42 + -12x = -30 Add '42' to each side of the equation. -42 + 42 + -12x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + -12x = -30 + 42 -12x = -30 + 42 Combine like terms: -30 + 42 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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