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Simplifying 7x + 52 = 3x + 24 Reorder the terms: 52 + 7x = 3x + 24 Reorder the terms: 52 + 7x = 24 + 3x Solving 52 + 7x = 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. 52 + 7x + -3x = 24 + 3x + -3x Combine like terms: 7x + -3x = 4x 52 + 4x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 52 + 4x = 24 + 0 52 + 4x = 24 Add '-52' to each side of the equation. 52 + -52 + 4x = 24 + -52 Combine like terms: 52 + -52 = 0 0 + 4x = 24 + -52 4x = 24 + -52 Combine like terms: 24 + -52 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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