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Simplifying 7x + -42 = 6x + -294 Reorder the terms: -42 + 7x = 6x + -294 Reorder the terms: -42 + 7x = -294 + 6x Solving -42 + 7x = -294 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + 7x + -6x = -294 + 6x + -6x Combine like terms: 7x + -6x = 1x -42 + 1x = -294 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 1x = -294 + 0 -42 + 1x = -294 Add '42' to each side of the equation. -42 + 42 + 1x = -294 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = -294 + 42 1x = -294 + 42 Combine like terms: -294 + 42 = -252 1x = -252 Divide each side by '1'. x = -252 Simplifying x = -252
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