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Simplifying -7(5x + 4) = 42 Reorder the terms: -7(4 + 5x) = 42 (4 * -7 + 5x * -7) = 42 (-28 + -35x) = 42 Solving -28 + -35x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -35x = 42 + 28 Combine like terms: -28 + 28 = 0 0 + -35x = 42 + 28 -35x = 42 + 28 Combine like terms: 42 + 28 = 70 -35x = 70 Divide each side by '-35'. x = -2 Simplifying x = -2
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