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Simplifying -4(x + 9) + -42 = 6 + -52 Reorder the terms: -4(9 + x) + -42 = 6 + -52 (9 * -4 + x * -4) + -42 = 6 + -52 (-36 + -4x) + -42 = 6 + -52 Reorder the terms: -36 + -42 + -4x = 6 + -52 Combine like terms: -36 + -42 = -78 -78 + -4x = 6 + -52 Combine like terms: 6 + -52 = -46 -78 + -4x = -46 Solving -78 + -4x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + -4x = -46 + 78 Combine like terms: -78 + 78 = 0 0 + -4x = -46 + 78 -4x = -46 + 78 Combine like terms: -46 + 78 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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