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Simplifying 4(x + 5) = -5x + -43 Reorder the terms: 4(5 + x) = -5x + -43 (5 * 4 + x * 4) = -5x + -43 (20 + 4x) = -5x + -43 Reorder the terms: 20 + 4x = -43 + -5x Solving 20 + 4x = -43 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 20 + 4x + 5x = -43 + -5x + 5x Combine like terms: 4x + 5x = 9x 20 + 9x = -43 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 9x = -43 + 0 20 + 9x = -43 Add '-20' to each side of the equation. 20 + -20 + 9x = -43 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = -43 + -20 9x = -43 + -20 Combine like terms: -43 + -20 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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