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Simplifying -7(x + 8) + -43 = 2 + -52 Reorder the terms: -7(8 + x) + -43 = 2 + -52 (8 * -7 + x * -7) + -43 = 2 + -52 (-56 + -7x) + -43 = 2 + -52 Reorder the terms: -56 + -43 + -7x = 2 + -52 Combine like terms: -56 + -43 = -99 -99 + -7x = 2 + -52 Combine like terms: 2 + -52 = -50 -99 + -7x = -50 Solving -99 + -7x = -50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '99' to each side of the equation. -99 + 99 + -7x = -50 + 99 Combine like terms: -99 + 99 = 0 0 + -7x = -50 + 99 -7x = -50 + 99 Combine like terms: -50 + 99 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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