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Simplifying -56 + 1x = 42 + -6x Solving -56 + 1x = 42 + -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. -56 + 1x + 6x = 42 + -6x + 6x Combine like terms: 1x + 6x = 7x -56 + 7x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -56 + 7x = 42 + 0 -56 + 7x = 42 Add '56' to each side of the equation. -56 + 56 + 7x = 42 + 56 Combine like terms: -56 + 56 = 0 0 + 7x = 42 + 56 7x = 42 + 56 Combine like terms: 42 + 56 = 98 7x = 98 Divide each side by '7'. x = 14 Simplifying x = 14
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