Question

11.
8x + 7(2x - 10) - 6x = -4(-7x - 10) - x

x = -17\t\t\t\t x = -11\t\t\t\t x = -10
brown\t\t\t\t white\t\t\t\t beige

Explanation:

Step1: Expand both sides

Expand \(7(2x - 10)\) to get \(14x - 70\) and \(-4(-7x - 10)\) to get \(28x + 40\). The equation becomes:
\(8x + 14x - 70 - 6x = 28x + 40 - x\)

Step2: Combine like terms

On the left side: \(8x + 14x - 6x = 16x\), so left side is \(16x - 70\).
On the right side: \(28x - x = 27x\), so right side is \(27x + 40\).
Now the equation is \(16x - 70 = 27x + 40\).

Step3: Move variables to one side

Subtract \(16x\) from both sides: \(-70 = 11x + 40\).

Step4: Solve for x

Subtract \(40\) from both sides: \(-110 = 11x\).
Divide both sides by \(11\): \(x = -10\)

Answer:

\(x = -10\) (beige)