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Simplifying 7x + 54 = 2x + 24 Reorder the terms: 54 + 7x = 2x + 24 Reorder the terms: 54 + 7x = 24 + 2x Solving 54 + 7x = 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. 54 + 7x + -2x = 24 + 2x + -2x Combine like terms: 7x + -2x = 5x 54 + 5x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 54 + 5x = 24 + 0 54 + 5x = 24 Add '-54' to each side of the equation. 54 + -54 + 5x = 24 + -54 Combine like terms: 54 + -54 = 0 0 + 5x = 24 + -54 5x = 24 + -54 Combine like terms: 24 + -54 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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