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Simplifying 7(1 + -3x) + 6x = 82 (1 * 7 + -3x * 7) + 6x = 82 (7 + -21x) + 6x = 82 Combine like terms: -21x + 6x = -15x 7 + -15x = 82 Solving 7 + -15x = 82 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 + -15x = 82 + -7 Combine like terms: 7 + -7 = 0 0 + -15x = 82 + -7 -15x = 82 + -7 Combine like terms: 82 + -7 = 75 -15x = 75 Divide each side by '-15'. x = -5 Simplifying x = -5
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