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Simplifying -2(x + -5) + -42 = -8 + -4 Reorder the terms: -2(-5 + x) + -42 = -8 + -4 (-5 * -2 + x * -2) + -42 = -8 + -4 (10 + -2x) + -42 = -8 + -4 Reorder the terms: 10 + -42 + -2x = -8 + -4 Combine like terms: 10 + -42 = -32 -32 + -2x = -8 + -4 Combine like terms: -8 + -4 = -12 -32 + -2x = -12 Solving -32 + -2x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -2x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -12 + 32 -2x = -12 + 32 Combine like terms: -12 + 32 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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