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Simplifying -7x + -2 = 3x + -42 Reorder the terms: -2 + -7x = 3x + -42 Reorder the terms: -2 + -7x = -42 + 3x Solving -2 + -7x = -42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -7x + -3x = -42 + 3x + -3x Combine like terms: -7x + -3x = -10x -2 + -10x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -10x = -42 + 0 -2 + -10x = -42 Add '2' to each side of the equation. -2 + 2 + -10x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -42 + 2 -10x = -42 + 2 Combine like terms: -42 + 2 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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