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Simplifying 51 + 3x = -5x + 75 Reorder the terms: 51 + 3x = 75 + -5x Solving 51 + 3x = 75 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 51 + 3x + 5x = 75 + -5x + 5x Combine like terms: 3x + 5x = 8x 51 + 8x = 75 + -5x + 5x Combine like terms: -5x + 5x = 0 51 + 8x = 75 + 0 51 + 8x = 75 Add '-51' to each side of the equation. 51 + -51 + 8x = 75 + -51 Combine like terms: 51 + -51 = 0 0 + 8x = 75 + -51 8x = 75 + -51 Combine like terms: 75 + -51 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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