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Simplifying -5(x + 6) + -42 = 4 + -31 Reorder the terms: -5(6 + x) + -42 = 4 + -31 (6 * -5 + x * -5) + -42 = 4 + -31 (-30 + -5x) + -42 = 4 + -31 Reorder the terms: -30 + -42 + -5x = 4 + -31 Combine like terms: -30 + -42 = -72 -72 + -5x = 4 + -31 Combine like terms: 4 + -31 = -27 -72 + -5x = -27 Solving -72 + -5x = -27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + -5x = -27 + 72 Combine like terms: -72 + 72 = 0 0 + -5x = -27 + 72 -5x = -27 + 72 Combine like terms: -27 + 72 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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