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Simplifying -6(x + 3) = 6x + 42 Reorder the terms: -6(3 + x) = 6x + 42 (3 * -6 + x * -6) = 6x + 42 (-18 + -6x) = 6x + 42 Reorder the terms: -18 + -6x = 42 + 6x Solving -18 + -6x = 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. -18 + -6x + -6x = 42 + 6x + -6x Combine like terms: -6x + -6x = -12x -18 + -12x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -12x = 42 + 0 -18 + -12x = 42 Add '18' to each side of the equation. -18 + 18 + -12x = 42 + 18 Combine like terms: -18 + 18 = 0 0 + -12x = 42 + 18 -12x = 42 + 18 Combine like terms: 42 + 18 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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