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Simplifying -7(x + 6) + -41 = 1 + -28 Reorder the terms: -7(6 + x) + -41 = 1 + -28 (6 * -7 + x * -7) + -41 = 1 + -28 (-42 + -7x) + -41 = 1 + -28 Reorder the terms: -42 + -41 + -7x = 1 + -28 Combine like terms: -42 + -41 = -83 -83 + -7x = 1 + -28 Combine like terms: 1 + -28 = -27 -83 + -7x = -27 Solving -83 + -7x = -27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '83' to each side of the equation. -83 + 83 + -7x = -27 + 83 Combine like terms: -83 + 83 = 0 0 + -7x = -27 + 83 -7x = -27 + 83 Combine like terms: -27 + 83 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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