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Simplifying -6(x + 4) + -42 = 8 + -32 Reorder the terms: -6(4 + x) + -42 = 8 + -32 (4 * -6 + x * -6) + -42 = 8 + -32 (-24 + -6x) + -42 = 8 + -32 Reorder the terms: -24 + -42 + -6x = 8 + -32 Combine like terms: -24 + -42 = -66 -66 + -6x = 8 + -32 Combine like terms: 8 + -32 = -24 -66 + -6x = -24 Solving -66 + -6x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + -6x = -24 + 66 Combine like terms: -66 + 66 = 0 0 + -6x = -24 + 66 -6x = -24 + 66 Combine like terms: -24 + 66 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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