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Simplifying -5(x + 4) + -42 = 2 + -24 Reorder the terms: -5(4 + x) + -42 = 2 + -24 (4 * -5 + x * -5) + -42 = 2 + -24 (-20 + -5x) + -42 = 2 + -24 Reorder the terms: -20 + -42 + -5x = 2 + -24 Combine like terms: -20 + -42 = -62 -62 + -5x = 2 + -24 Combine like terms: 2 + -24 = -22 -62 + -5x = -22 Solving -62 + -5x = -22 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 + -5x = -22 + 62 Combine like terms: -62 + 62 = 0 0 + -5x = -22 + 62 -5x = -22 + 62 Combine like terms: -22 + 62 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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