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Simplifying -5(x + 7) + -45 = 3 + -43 Reorder the terms: -5(7 + x) + -45 = 3 + -43 (7 * -5 + x * -5) + -45 = 3 + -43 (-35 + -5x) + -45 = 3 + -43 Reorder the terms: -35 + -45 + -5x = 3 + -43 Combine like terms: -35 + -45 = -80 -80 + -5x = 3 + -43 Combine like terms: 3 + -43 = -40 -80 + -5x = -40 Solving -80 + -5x = -40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -5x = -40 + 80 Combine like terms: -80 + 80 = 0 0 + -5x = -40 + 80 -5x = -40 + 80 Combine like terms: -40 + 80 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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