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Simplifying 3x + -7x + 7 + -12 + 44x + 7 = 82 Reorder the terms: 7 + -12 + 7 + 3x + -7x + 44x = 82 Combine like terms: 7 + -12 = -5 -5 + 7 + 3x + -7x + 44x = 82 Combine like terms: -5 + 7 = 2 2 + 3x + -7x + 44x = 82 Combine like terms: 3x + -7x = -4x 2 + -4x + 44x = 82 Combine like terms: -4x + 44x = 40x 2 + 40x = 82 Solving 2 + 40x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 40x = 82 + -2 Combine like terms: 2 + -2 = 0 0 + 40x = 82 + -2 40x = 82 + -2 Combine like terms: 82 + -2 = 80 40x = 80 Divide each side by '40'. x = 2 Simplifying x = 2
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