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Simplifying 6(x + -3) = 42 + -6x Reorder the terms: 6(-3 + x) = 42 + -6x (-3 * 6 + x * 6) = 42 + -6x (-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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