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Simplifying -7(x + 6) + -43 = 2 + -52 Reorder the terms: -7(6 + x) + -43 = 2 + -52 (6 * -7 + x * -7) + -43 = 2 + -52 (-42 + -7x) + -43 = 2 + -52 Reorder the terms: -42 + -43 + -7x = 2 + -52 Combine like terms: -42 + -43 = -85 -85 + -7x = 2 + -52 Combine like terms: 2 + -52 = -50 -85 + -7x = -50 Solving -85 + -7x = -50 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 + -7x = -50 + 85 Combine like terms: -85 + 85 = 0 0 + -7x = -50 + 85 -7x = -50 + 85 Combine like terms: -50 + 85 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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