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Simplifying -7(10 + 6x) = -406 (10 * -7 + 6x * -7) = -406 (-70 + -42x) = -406 Solving -70 + -42x = -406 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -42x = -406 + 70 Combine like terms: -70 + 70 = 0 0 + -42x = -406 + 70 -42x = -406 + 70 Combine like terms: -406 + 70 = -336 -42x = -336 Divide each side by '-42'. x = 8 Simplifying x = 8
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