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one solution, no solution, or infinite solutions? $7x - 6x \\cdot 7 = x…

Question

one solution, no solution, or infinite solutions?
$7x - 6x \cdot 7 = x \cdot 5 \cdot 2$

Explanation:

Step1: Simplify right-hand side

$x \cdot 5 \cdot 2 = 10x$

Step2: Rewrite the equation

$7x - 6x \cdot 7 = 10x$

Step3: Simplify left-hand side

$7x - 42x = -35x$

Step4: Isolate the variable term

$-35x - 10x = 0$
$-45x = 0$

Step5: Solve for x

$x = \frac{0}{-45}$

Answer:

$x=0$ (One Solution)