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Simplifying 12(x + 5) = 4(3x + 2) * 52 Reorder the terms: 12(5 + x) = 4(3x + 2) * 52 (5 * 12 + x * 12) = 4(3x + 2) * 52 (60 + 12x) = 4(3x + 2) * 52 Reorder the terms: 60 + 12x = 4(2 + 3x) * 52 Reorder the terms for easier multiplication: 60 + 12x = 4 * 52(2 + 3x) Multiply 4 * 52 60 + 12x = 208(2 + 3x) 60 + 12x = (2 * 208 + 3x * 208) 60 + 12x = (416 + 624x) Solving 60 + 12x = 416 + 624x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-624x' to each side of the equation. 60 + 12x + -624x = 416 + 624x + -624x Combine like terms: 12x + -624x = -612x 60 + -612x = 416 + 624x + -624x Combine like terms: 624x + -624x = 0 60 + -612x = 416 + 0 60 + -612x = 416 Add '-60' to each side of the equation. 60 + -60 + -612x = 416 + -60 Combine like terms: 60 + -60 = 0 0 + -612x = 416 + -60 -612x = 416 + -60 Combine like terms: 416 + -60 = 356 -612x = 356 Divide each side by '-612'. x = -0.5816993464 Simplifying x = -0.5816993464
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