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Simplifying -4(x + 6) + -41 = 5 + -34 Reorder the terms: -4(6 + x) + -41 = 5 + -34 (6 * -4 + x * -4) + -41 = 5 + -34 (-24 + -4x) + -41 = 5 + -34 Reorder the terms: -24 + -41 + -4x = 5 + -34 Combine like terms: -24 + -41 = -65 -65 + -4x = 5 + -34 Combine like terms: 5 + -34 = -29 -65 + -4x = -29 Solving -65 + -4x = -29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -4x = -29 + 65 Combine like terms: -65 + 65 = 0 0 + -4x = -29 + 65 -4x = -29 + 65 Combine like terms: -29 + 65 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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