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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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