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Simplifying 5x + 51 = 2x + 24 Reorder the terms: 51 + 5x = 2x + 24 Reorder the terms: 51 + 5x = 24 + 2x Solving 51 + 5x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 51 + 5x + -2x = 24 + 2x + -2x Combine like terms: 5x + -2x = 3x 51 + 3x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 51 + 3x = 24 + 0 51 + 3x = 24 Add '-51' to each side of the equation. 51 + -51 + 3x = 24 + -51 Combine like terms: 51 + -51 = 0 0 + 3x = 24 + -51 3x = 24 + -51 Combine like terms: 24 + -51 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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