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Simplifying -6(x + 3) + -42 = 4 + -22 Reorder the terms: -6(3 + x) + -42 = 4 + -22 (3 * -6 + x * -6) + -42 = 4 + -22 (-18 + -6x) + -42 = 4 + -22 Reorder the terms: -18 + -42 + -6x = 4 + -22 Combine like terms: -18 + -42 = -60 -60 + -6x = 4 + -22 Combine like terms: 4 + -22 = -18 -60 + -6x = -18 Solving -60 + -6x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -6x = -18 + 60 Combine like terms: -60 + 60 = 0 0 + -6x = -18 + 60 -6x = -18 + 60 Combine like terms: -18 + 60 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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