Answer:
To simplify the expression −8(1+x)+7x, we can use the distributive property of multiplication over addition, which states that a(b+c) = ab + ac. Applying this property, we get:
−8(1+x) + 7x = −81 − 8x + 7x (distributing the -8)
= -8x - 8 + 7x (simplifying the multiplication)
= -x - 8 (combining like terms)
Therefore, the simplified form of the expression −8(1+x)+7x is −x − 8.