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Simplifying -7(x + 5) + -43 = 3 + -32 Reorder the terms: -7(5 + x) + -43 = 3 + -32 (5 * -7 + x * -7) + -43 = 3 + -32 (-35 + -7x) + -43 = 3 + -32 Reorder the terms: -35 + -43 + -7x = 3 + -32 Combine like terms: -35 + -43 = -78 -78 + -7x = 3 + -32 Combine like terms: 3 + -32 = -29 -78 + -7x = -29 Solving -78 + -7x = -29 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 + -7x = -29 + 78 Combine like terms: -78 + 78 = 0 0 + -7x = -29 + 78 -7x = -29 + 78 Combine like terms: -29 + 78 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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