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Simplifying -47 + 7x = 3x + 37 Reorder the terms: -47 + 7x = 37 + 3x Solving -47 + 7x = 37 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -47 + 7x + -3x = 37 + 3x + -3x Combine like terms: 7x + -3x = 4x -47 + 4x = 37 + 3x + -3x Combine like terms: 3x + -3x = 0 -47 + 4x = 37 + 0 -47 + 4x = 37 Add '47' to each side of the equation. -47 + 47 + 4x = 37 + 47 Combine like terms: -47 + 47 = 0 0 + 4x = 37 + 47 4x = 37 + 47 Combine like terms: 37 + 47 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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