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Simplifying 3x + 51 = -7x + 1 Reorder the terms: 51 + 3x = -7x + 1 Reorder the terms: 51 + 3x = 1 + -7x Solving 51 + 3x = 1 + -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. 51 + 3x + 7x = 1 + -7x + 7x Combine like terms: 3x + 7x = 10x 51 + 10x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 51 + 10x = 1 + 0 51 + 10x = 1 Add '-51' to each side of the equation. 51 + -51 + 10x = 1 + -51 Combine like terms: 51 + -51 = 0 0 + 10x = 1 + -51 10x = 1 + -51 Combine like terms: 1 + -51 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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