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Simplifying 2x + -42 = -7x + 12 Reorder the terms: -42 + 2x = -7x + 12 Reorder the terms: -42 + 2x = 12 + -7x Solving -42 + 2x = 12 + -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. -42 + 2x + 7x = 12 + -7x + 7x Combine like terms: 2x + 7x = 9x -42 + 9x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + 9x = 12 + 0 -42 + 9x = 12 Add '42' to each side of the equation. -42 + 42 + 9x = 12 + 42 Combine like terms: -42 + 42 = 0 0 + 9x = 12 + 42 9x = 12 + 42 Combine like terms: 12 + 42 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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