This is the 8524th most frequent French word.
alléger
To lighten or relieve.
In this sentence, 'alléger' is used to indicate the action of lightening or reducing weight, applied to a physical object, in this case, a bag.
J'ai allégé le poids de mon sac en retirant quelques objets inutiles.
I reduced the weight of my bag by removing some unnecessary items.
Here, 'alléger' is employed in a metaphorical sense to mean easing or reducing, applied to a budget as an abstract concept.
Pour alléger le budget, nous avons opté pour des solutions moins coûteuses.
To ease the budget, we opted for less expensive solutions.
In this instance, 'alléger' refers to making something less serious or intense, relating to the mood or atmosphere of a situation.