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Find x if -35+4[6x-12(3x+5)+10]=8+6x+9

Find x if -35+4[6x-12(3x+5)+10]=8+6x+9-example-1

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Answer:

Explanation:

We can simplify the left-hand side of the equation using the distributive property of multiplication and combining like terms:

-35 + 4[6x - 12(3x + 5) + 10] = -35 + 4[6x - 36x - 60 + 10] = -35 + 4[-30x - 50] = -35 - 120x - 200 = -120x - 235

Similarly, we can simplify the right-hand side of the equation by combining like terms:

8 + 6x + 9 = 17 + 6x

Substituting these simplified expressions back into the original equation, we get:

-120x - 235 = 17 + 6x

Adding 120x to both sides and subtracting 17 from both sides, we get:

-235 = 126x - 17

Adding 17 to both sides, we get:

-218 = 126x

Dividing both sides by 126, we get:

x = -218/126

Simplifying this fraction, we get:

x = -109/63

Therefore, x is equal to -109/63.

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