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Simplifying -5(x + 6) + -43 = 8 + -46 Reorder the terms: -5(6 + x) + -43 = 8 + -46 (6 * -5 + x * -5) + -43 = 8 + -46 (-30 + -5x) + -43 = 8 + -46 Reorder the terms: -30 + -43 + -5x = 8 + -46 Combine like terms: -30 + -43 = -73 -73 + -5x = 8 + -46 Combine like terms: 8 + -46 = -38 -73 + -5x = -38 Solving -73 + -5x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + -5x = -38 + 73 Combine like terms: -73 + 73 = 0 0 + -5x = -38 + 73 -5x = -38 + 73 Combine like terms: -38 + 73 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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