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Simplifying -5(x + 7) = 6x + 42 Reorder the terms: -5(7 + x) = 6x + 42 (7 * -5 + x * -5) = 6x + 42 (-35 + -5x) = 6x + 42 Reorder the terms: -35 + -5x = 42 + 6x Solving -35 + -5x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + -5x + -6x = 42 + 6x + -6x Combine like terms: -5x + -6x = -11x -35 + -11x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + -11x = 42 + 0 -35 + -11x = 42 Add '35' to each side of the equation. -35 + 35 + -11x = 42 + 35 Combine like terms: -35 + 35 = 0 0 + -11x = 42 + 35 -11x = 42 + 35 Combine like terms: 42 + 35 = 77 -11x = 77 Divide each side by '-11'. x = -7 Simplifying x = -7
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