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Simplifying -42 = -6(x + 5) Reorder the terms: -42 = -6(5 + x) -42 = (5 * -6 + x * -6) -42 = (-30 + -6x) Solving -42 = -30 + -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. -42 + 6x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 -42 + 6x = -30 + 0 -42 + 6x = -30 Add '42' to each side of the equation. -42 + 42 + 6x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -30 + 42 6x = -30 + 42 Combine like terms: -30 + 42 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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