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Simplifying -5(x + 2) + -42 = 8 + -35 Reorder the terms: -5(2 + x) + -42 = 8 + -35 (2 * -5 + x * -5) + -42 = 8 + -35 (-10 + -5x) + -42 = 8 + -35 Reorder the terms: -10 + -42 + -5x = 8 + -35 Combine like terms: -10 + -42 = -52 -52 + -5x = 8 + -35 Combine like terms: 8 + -35 = -27 -52 + -5x = -27 Solving -52 + -5x = -27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -5x = -27 + 52 Combine like terms: -52 + 52 = 0 0 + -5x = -27 + 52 -5x = -27 + 52 Combine like terms: -27 + 52 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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