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Simplifying 6x + -42 = -6(x + 3) Reorder the terms: -42 + 6x = -6(x + 3) Reorder the terms: -42 + 6x = -6(3 + x) -42 + 6x = (3 * -6 + x * -6) -42 + 6x = (-18 + -6x) Solving -42 + 6x = -18 + -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 + 6x = -18 + -6x + 6x Combine like terms: 6x + 6x = 12x -42 + 12x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 -42 + 12x = -18 + 0 -42 + 12x = -18 Add '42' to each side of the equation. -42 + 42 + 12x = -18 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = -18 + 42 12x = -18 + 42 Combine like terms: -18 + 42 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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