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QUESTION IMAGE

7x - (3x - 4) ≥ 2(x - 6)

Question

7x - (3x - 4) ≥ 2(x - 6)

Explanation:

Step1: Remove parentheses

$7x - 3x + 4\geq2x-12$

Step2: Combine like - terms on the left - hand side

$(7x - 3x)+4\geq2x - 12$
$4x+4\geq2x - 12$

Step3: Move the terms with $x$ to one side

$4x-2x\geq - 12 - 4$

Step4: Combine like - terms

$2x\geq - 16$

Step5: Solve for $x$

$x\geq\frac{-16}{2}$
$x\geq - 8$

Answer:

$x\geq - 8$