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Simplifying 4(3x + 7) = -45 + 1 Reorder the terms: 4(7 + 3x) = -45 + 1 (7 * 4 + 3x * 4) = -45 + 1 (28 + 12x) = -45 + 1 Combine like terms: -45 + 1 = -44 28 + 12x = -44 Solving 28 + 12x = -44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 12x = -44 + -28 Combine like terms: 28 + -28 = 0 0 + 12x = -44 + -28 12x = -44 + -28 Combine like terms: -44 + -28 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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