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Simplifying 45(4x + 5) = 105 Reorder the terms: 45(5 + 4x) = 105 (5 * 45 + 4x * 45) = 105 (225 + 180x) = 105 Solving 225 + 180x = 105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -225 + 180x = 105 + -225 Combine like terms: 225 + -225 = 0 0 + 180x = 105 + -225 180x = 105 + -225 Combine like terms: 105 + -225 = -120 180x = -120 Divide each side by '180'. x = -0.6666666667 Simplifying x = -0.6666666667
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