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Simplifying -4x + -47 = 37 + -7x Reorder the terms: -47 + -4x = 37 + -7x Solving -47 + -4x = 37 + -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. -47 + -4x + 7x = 37 + -7x + 7x Combine like terms: -4x + 7x = 3x -47 + 3x = 37 + -7x + 7x Combine like terms: -7x + 7x = 0 -47 + 3x = 37 + 0 -47 + 3x = 37 Add '47' to each side of the equation. -47 + 47 + 3x = 37 + 47 Combine like terms: -47 + 47 = 0 0 + 3x = 37 + 47 3x = 37 + 47 Combine like terms: 37 + 47 = 84 3x = 84 Divide each side by '3'. x = 28 Simplifying x = 28
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