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Simplifying -5(x + 4) + -43 = 8 + -46 Reorder the terms: -5(4 + x) + -43 = 8 + -46 (4 * -5 + x * -5) + -43 = 8 + -46 (-20 + -5x) + -43 = 8 + -46 Reorder the terms: -20 + -43 + -5x = 8 + -46 Combine like terms: -20 + -43 = -63 -63 + -5x = 8 + -46 Combine like terms: 8 + -46 = -38 -63 + -5x = -38 Solving -63 + -5x = -38 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 = -38 + 63 Combine like terms: -63 + 63 = 0 0 + -5x = -38 + 63 -5x = -38 + 63 Combine like terms: -38 + 63 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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