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Simplifying -6(x + 3) = 42 + 4x Reorder the terms: -6(3 + x) = 42 + 4x (3 * -6 + x * -6) = 42 + 4x (-18 + -6x) = 42 + 4x Solving -18 + -6x = 42 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + -6x + -4x = 42 + 4x + -4x Combine like terms: -6x + -4x = -10x -18 + -10x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -10x = 42 + 0 -18 + -10x = 42 Add '18' to each side of the equation. -18 + 18 + -10x = 42 + 18 Combine like terms: -18 + 18 = 0 0 + -10x = 42 + 18 -10x = 42 + 18 Combine like terms: 42 + 18 = 60 -10x = 60 Divide each side by '-10'. x = -6 Simplifying x = -6
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