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Simplifying 12x + 1 + 5(7 + -2x) = 41 12x + 1 + (7 * 5 + -2x * 5) = 41 12x + 1 + (35 + -10x) = 41 Reorder the terms: 1 + 35 + 12x + -10x = 41 Combine like terms: 1 + 35 = 36 36 + 12x + -10x = 41 Combine like terms: 12x + -10x = 2x 36 + 2x = 41 Solving 36 + 2x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 2x = 41 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 41 + -36 2x = 41 + -36 Combine like terms: 41 + -36 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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