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Simplifying -71 + 7x = 3x + 21 Reorder the terms: -71 + 7x = 21 + 3x Solving -71 + 7x = 21 + 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. -71 + 7x + -3x = 21 + 3x + -3x Combine like terms: 7x + -3x = 4x -71 + 4x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -71 + 4x = 21 + 0 -71 + 4x = 21 Add '71' to each side of the equation. -71 + 71 + 4x = 21 + 71 Combine like terms: -71 + 71 = 0 0 + 4x = 21 + 71 4x = 21 + 71 Combine like terms: 21 + 71 = 92 4x = 92 Divide each side by '4'. x = 23 Simplifying x = 23
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