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Simplifying -4(x + 3) + -42 = 2 + -32 Reorder the terms: -4(3 + x) + -42 = 2 + -32 (3 * -4 + x * -4) + -42 = 2 + -32 (-12 + -4x) + -42 = 2 + -32 Reorder the terms: -12 + -42 + -4x = 2 + -32 Combine like terms: -12 + -42 = -54 -54 + -4x = 2 + -32 Combine like terms: 2 + -32 = -30 -54 + -4x = -30 Solving -54 + -4x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -4x = -30 + 54 Combine like terms: -54 + 54 = 0 0 + -4x = -30 + 54 -4x = -30 + 54 Combine like terms: -30 + 54 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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