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Simplifying -7(x + 6) + -42 = 1 + -29 Reorder the terms: -7(6 + x) + -42 = 1 + -29 (6 * -7 + x * -7) + -42 = 1 + -29 (-42 + -7x) + -42 = 1 + -29 Reorder the terms: -42 + -42 + -7x = 1 + -29 Combine like terms: -42 + -42 = -84 -84 + -7x = 1 + -29 Combine like terms: 1 + -29 = -28 -84 + -7x = -28 Solving -84 + -7x = -28 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 + -7x = -28 + 84 Combine like terms: -84 + 84 = 0 0 + -7x = -28 + 84 -7x = -28 + 84 Combine like terms: -28 + 84 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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