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Simplifying -4(x + 5) + -42 = 3 + -33 Reorder the terms: -4(5 + x) + -42 = 3 + -33 (5 * -4 + x * -4) + -42 = 3 + -33 (-20 + -4x) + -42 = 3 + -33 Reorder the terms: -20 + -42 + -4x = 3 + -33 Combine like terms: -20 + -42 = -62 -62 + -4x = 3 + -33 Combine like terms: 3 + -33 = -30 -62 + -4x = -30 Solving -62 + -4x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -4x = -30 + 62 Combine like terms: -62 + 62 = 0 0 + -4x = -30 + 62 -4x = -30 + 62 Combine like terms: -30 + 62 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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