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Simplifying 5x + 54 = 3x + 24 Reorder the terms: 54 + 5x = 3x + 24 Reorder the terms: 54 + 5x = 24 + 3x Solving 54 + 5x = 24 + 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. 54 + 5x + -3x = 24 + 3x + -3x Combine like terms: 5x + -3x = 2x 54 + 2x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 54 + 2x = 24 + 0 54 + 2x = 24 Add '-54' to each side of the equation. 54 + -54 + 2x = 24 + -54 Combine like terms: 54 + -54 = 0 0 + 2x = 24 + -54 2x = 24 + -54 Combine like terms: 24 + -54 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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