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Simplifying -6(x + 7) + -43 = 1 + -38 Reorder the terms: -6(7 + x) + -43 = 1 + -38 (7 * -6 + x * -6) + -43 = 1 + -38 (-42 + -6x) + -43 = 1 + -38 Reorder the terms: -42 + -43 + -6x = 1 + -38 Combine like terms: -42 + -43 = -85 -85 + -6x = 1 + -38 Combine like terms: 1 + -38 = -37 -85 + -6x = -37 Solving -85 + -6x = -37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + -6x = -37 + 85 Combine like terms: -85 + 85 = 0 0 + -6x = -37 + 85 -6x = -37 + 85 Combine like terms: -37 + 85 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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