Simplify −4/5(30x−40)+(42x+4) . Write your answer in factored form.
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To simplify the expression, we will apply the distributive property and combine like terms.
Given expression: -4/5(30x-40) + (42x + 4)
Step 1: Apply the distributive property
Multiply -4/5 by each term inside the parentheses.
= -4/5 * 30x + (-4/5) * (-40) + (42x + 4)
Simplify:
= -24x + 32 + 42x + 4
Step 2: Combine like terms
Combine the x terms (-24x and 42x), and the constant terms (32 and 4).
= (-24x + 42x) + (32 + 4)
= 18x + 36
Therefore, the simplified expression -4/5(30x-40) + (42x + 4) is equal to 18x + 36.