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Simplifying -5(x + 7) + -43 = 3 + -41 Reorder the terms: -5(7 + x) + -43 = 3 + -41 (7 * -5 + x * -5) + -43 = 3 + -41 (-35 + -5x) + -43 = 3 + -41 Reorder the terms: -35 + -43 + -5x = 3 + -41 Combine like terms: -35 + -43 = -78 -78 + -5x = 3 + -41 Combine like terms: 3 + -41 = -38 -78 + -5x = -38 Solving -78 + -5x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + -5x = -38 + 78 Combine like terms: -78 + 78 = 0 0 + -5x = -38 + 78 -5x = -38 + 78 Combine like terms: -38 + 78 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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