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Simplifying 2(4x + 6) = -45 + 1 Reorder the terms: 2(6 + 4x) = -45 + 1 (6 * 2 + 4x * 2) = -45 + 1 (12 + 8x) = -45 + 1 Combine like terms: -45 + 1 = -44 12 + 8x = -44 Solving 12 + 8x = -44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8x = -44 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = -44 + -12 8x = -44 + -12 Combine like terms: -44 + -12 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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