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Simplifying -47 + x = 51 + -6x Solving -47 + x = 51 + -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. -47 + x + 6x = 51 + -6x + 6x Combine like terms: x + 6x = 7x -47 + 7x = 51 + -6x + 6x Combine like terms: -6x + 6x = 0 -47 + 7x = 51 + 0 -47 + 7x = 51 Add '47' to each side of the equation. -47 + 47 + 7x = 51 + 47 Combine like terms: -47 + 47 = 0 0 + 7x = 51 + 47 7x = 51 + 47 Combine like terms: 51 + 47 = 98 7x = 98 Divide each side by '7'. x = 14 Simplifying x = 14
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