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Simplifying -6(x + 4) + -43 = 1 + -38 Reorder the terms: -6(4 + x) + -43 = 1 + -38 (4 * -6 + x * -6) + -43 = 1 + -38 (-24 + -6x) + -43 = 1 + -38 Reorder the terms: -24 + -43 + -6x = 1 + -38 Combine like terms: -24 + -43 = -67 -67 + -6x = 1 + -38 Combine like terms: 1 + -38 = -37 -67 + -6x = -37 Solving -67 + -6x = -37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + -6x = -37 + 67 Combine like terms: -67 + 67 = 0 0 + -6x = -37 + 67 -6x = -37 + 67 Combine like terms: -37 + 67 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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