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Simplifying -4(x + 6) + -42 = 7 + -41 Reorder the terms: -4(6 + x) + -42 = 7 + -41 (6 * -4 + x * -4) + -42 = 7 + -41 (-24 + -4x) + -42 = 7 + -41 Reorder the terms: -24 + -42 + -4x = 7 + -41 Combine like terms: -24 + -42 = -66 -66 + -4x = 7 + -41 Combine like terms: 7 + -41 = -34 -66 + -4x = -34 Solving -66 + -4x = -34 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 + -4x = -34 + 66 Combine like terms: -66 + 66 = 0 0 + -4x = -34 + 66 -4x = -34 + 66 Combine like terms: -34 + 66 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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