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Simplifying 4x + 6 = 2x + 52 Reorder the terms: 6 + 4x = 2x + 52 Reorder the terms: 6 + 4x = 52 + 2x Solving 6 + 4x = 52 + 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. 6 + 4x + -2x = 52 + 2x + -2x Combine like terms: 4x + -2x = 2x 6 + 2x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 2x = 52 + 0 6 + 2x = 52 Add '-6' to each side of the equation. 6 + -6 + 2x = 52 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 52 + -6 2x = 52 + -6 Combine like terms: 52 + -6 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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