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Simplifying 12x + (3x + 4) + (2x + 3) = 41 Reorder the terms: 12x + (4 + 3x) + (2x + 3) = 41 Remove parenthesis around (4 + 3x) 12x + 4 + 3x + (2x + 3) = 41 Reorder the terms: 12x + 4 + 3x + (3 + 2x) = 41 Remove parenthesis around (3 + 2x) 12x + 4 + 3x + 3 + 2x = 41 Reorder the terms: 4 + 3 + 12x + 3x + 2x = 41 Combine like terms: 4 + 3 = 7 7 + 12x + 3x + 2x = 41 Combine like terms: 12x + 3x = 15x 7 + 15x + 2x = 41 Combine like terms: 15x + 2x = 17x 7 + 17x = 41 Solving 7 + 17x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 17x = 41 + -7 Combine like terms: 7 + -7 = 0 0 + 17x = 41 + -7 17x = 41 + -7 Combine like terms: 41 + -7 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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