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Simplifying -6x + 5 = 47 + -7x Reorder the terms: 5 + -6x = 47 + -7x Solving 5 + -6x = 47 + -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. 5 + -6x + 7x = 47 + -7x + 7x Combine like terms: -6x + 7x = 1x 5 + 1x = 47 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 1x = 47 + 0 5 + 1x = 47 Add '-5' to each side of the equation. 5 + -5 + 1x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 47 + -5 1x = 47 + -5 Combine like terms: 47 + -5 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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