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Simplifying -42 + 7x = 84 + -2x Solving -42 + 7x = 84 + -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 = 84 + -2x + 2x Combine like terms: 7x + 2x = 9x -42 + 9x = 84 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + 9x = 84 + 0 -42 + 9x = 84 Add '42' to each side of the equation. -42 + 42 + 9x = 84 + 42 Combine like terms: -42 + 42 = 0 0 + 9x = 84 + 42 9x = 84 + 42 Combine like terms: 84 + 42 = 126 9x = 126 Divide each side by '9'. x = 14 Simplifying x = 14
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