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Simplifying 0.4(3x + 9) = (-74) + 2 Reorder the terms: 0.4(9 + 3x) = (-74) + 2 (9 * 0.4 + 3x * 0.4) = (-74) + 2 (3.6 + 1.2x) = (-74) + 2 3.6 + 1.2x = -74 + 2 Combine like terms: -74 + 2 = -72 3.6 + 1.2x = -72 Solving 3.6 + 1.2x = -72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6' to each side of the equation. 3.6 + -3.6 + 1.2x = -72 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 1.2x = -72 + -3.6 1.2x = -72 + -3.6 Combine like terms: -72 + -3.6 = -75.6 1.2x = -75.6 Divide each side by '1.2'. x = -63 Simplifying x = -63
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