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Simplifying 52 = 4(3 + 2x) 52 = (3 * 4 + 2x * 4) 52 = (12 + 8x) Solving 52 = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 52 + -8x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 52 + -8x = 12 + 0 52 + -8x = 12 Add '-52' to each side of the equation. 52 + -52 + -8x = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -8x = 12 + -52 -8x = 12 + -52 Combine like terms: 12 + -52 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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