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Simplifying -7(x + 4) + -43 = 2 + -31 Reorder the terms: -7(4 + x) + -43 = 2 + -31 (4 * -7 + x * -7) + -43 = 2 + -31 (-28 + -7x) + -43 = 2 + -31 Reorder the terms: -28 + -43 + -7x = 2 + -31 Combine like terms: -28 + -43 = -71 -71 + -7x = 2 + -31 Combine like terms: 2 + -31 = -29 -71 + -7x = -29 Solving -71 + -7x = -29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 71 + -7x = -29 + 71 Combine like terms: -71 + 71 = 0 0 + -7x = -29 + 71 -7x = -29 + 71 Combine like terms: -29 + 71 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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