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Simplifying -5(x + 4) + -43 = 3 + -21 Reorder the terms: -5(4 + x) + -43 = 3 + -21 (4 * -5 + x * -5) + -43 = 3 + -21 (-20 + -5x) + -43 = 3 + -21 Reorder the terms: -20 + -43 + -5x = 3 + -21 Combine like terms: -20 + -43 = -63 -63 + -5x = 3 + -21 Combine like terms: 3 + -21 = -18 -63 + -5x = -18 Solving -63 + -5x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -5x = -18 + 63 Combine like terms: -63 + 63 = 0 0 + -5x = -18 + 63 -5x = -18 + 63 Combine like terms: -18 + 63 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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