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Simplifying -4(x + 5) + -42 = 7 + -33 Reorder the terms: -4(5 + x) + -42 = 7 + -33 (5 * -4 + x * -4) + -42 = 7 + -33 (-20 + -4x) + -42 = 7 + -33 Reorder the terms: -20 + -42 + -4x = 7 + -33 Combine like terms: -20 + -42 = -62 -62 + -4x = 7 + -33 Combine like terms: 7 + -33 = -26 -62 + -4x = -26 Solving -62 + -4x = -26 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 = -26 + 62 Combine like terms: -62 + 62 = 0 0 + -4x = -26 + 62 -4x = -26 + 62 Combine like terms: -26 + 62 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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