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Simplifying -6(x + 7) + -42 = 8 + -38 Reorder the terms: -6(7 + x) + -42 = 8 + -38 (7 * -6 + x * -6) + -42 = 8 + -38 (-42 + -6x) + -42 = 8 + -38 Reorder the terms: -42 + -42 + -6x = 8 + -38 Combine like terms: -42 + -42 = -84 -84 + -6x = 8 + -38 Combine like terms: 8 + -38 = -30 -84 + -6x = -30 Solving -84 + -6x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -6x = -30 + 84 Combine like terms: -84 + 84 = 0 0 + -6x = -30 + 84 -6x = -30 + 84 Combine like terms: -30 + 84 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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