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Simplifying 7(-10 + -5x) = -420 (-10 * 7 + -5x * 7) = -420 (-70 + -35x) = -420 Solving -70 + -35x = -420 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 + -35x = -420 + 70 Combine like terms: -70 + 70 = 0 0 + -35x = -420 + 70 -35x = -420 + 70 Combine like terms: -420 + 70 = -350 -35x = -350 Divide each side by '-35'. x = 10 Simplifying x = 10
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