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Simplifying -7(x + 2) + -43 = 6 + -14 Reorder the terms: -7(2 + x) + -43 = 6 + -14 (2 * -7 + x * -7) + -43 = 6 + -14 (-14 + -7x) + -43 = 6 + -14 Reorder the terms: -14 + -43 + -7x = 6 + -14 Combine like terms: -14 + -43 = -57 -57 + -7x = 6 + -14 Combine like terms: 6 + -14 = -8 -57 + -7x = -8 Solving -57 + -7x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -7x = -8 + 57 Combine like terms: -57 + 57 = 0 0 + -7x = -8 + 57 -7x = -8 + 57 Combine like terms: -8 + 57 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7

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