Question

1. -(4x - 7) - 6 = 6 + 3x

Explanation:

Step1: Simplify left side

Distribute the negative sign: $-4x + 7 - 6 = 6 + 3x$
Simplify constants: $-4x + 1 = 6 + 3x$

Step2: Move variables to left

Add $4x$ to both sides: $1 = 6 + 7x$

Step3: Move constants to left

Subtract $6$ from both sides: $-5 = 7x$

Step4: Solve for x

Divide by $7$: $x = -\frac{5}{7}$

Answer:

$x = -\dfrac{5}{7}$