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Simplifying -5(x + 2) + -43 = 8 + -21 Reorder the terms: -5(2 + x) + -43 = 8 + -21 (2 * -5 + x * -5) + -43 = 8 + -21 (-10 + -5x) + -43 = 8 + -21 Reorder the terms: -10 + -43 + -5x = 8 + -21 Combine like terms: -10 + -43 = -53 -53 + -5x = 8 + -21 Combine like terms: 8 + -21 = -13 -53 + -5x = -13 Solving -53 + -5x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + -5x = -13 + 53 Combine like terms: -53 + 53 = 0 0 + -5x = -13 + 53 -5x = -13 + 53 Combine like terms: -13 + 53 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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