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Simplifying 3x + -51 = 97 + -1x Reorder the terms: -51 + 3x = 97 + -1x Solving -51 + 3x = 97 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -51 + 3x + x = 97 + -1x + x Combine like terms: 3x + x = 4x -51 + 4x = 97 + -1x + x Combine like terms: -1x + x = 0 -51 + 4x = 97 + 0 -51 + 4x = 97 Add '51' to each side of the equation. -51 + 51 + 4x = 97 + 51 Combine like terms: -51 + 51 = 0 0 + 4x = 97 + 51 4x = 97 + 51 Combine like terms: 97 + 51 = 148 4x = 148 Divide each side by '4'. x = 37 Simplifying x = 37
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