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Simplifying -6(x + 5) + -43 = 8 + -45 Reorder the terms: -6(5 + x) + -43 = 8 + -45 (5 * -6 + x * -6) + -43 = 8 + -45 (-30 + -6x) + -43 = 8 + -45 Reorder the terms: -30 + -43 + -6x = 8 + -45 Combine like terms: -30 + -43 = -73 -73 + -6x = 8 + -45 Combine like terms: 8 + -45 = -37 -73 + -6x = -37 Solving -73 + -6x = -37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + -6x = -37 + 73 Combine like terms: -73 + 73 = 0 0 + -6x = -37 + 73 -6x = -37 + 73 Combine like terms: -37 + 73 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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