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Simplifying 7x + -42 = 2x + -7 Reorder the terms: -42 + 7x = 2x + -7 Reorder the terms: -42 + 7x = -7 + 2x Solving -42 + 7x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 7x + -2x = -7 + 2x + -2x Combine like terms: 7x + -2x = 5x -42 + 5x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 5x = -7 + 0 -42 + 5x = -7 Add '42' to each side of the equation. -42 + 42 + 5x = -7 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = -7 + 42 5x = -7 + 42 Combine like terms: -7 + 42 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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