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Simplifying -7(x + 4) + -41 = 1 + -28 Reorder the terms: -7(4 + x) + -41 = 1 + -28 (4 * -7 + x * -7) + -41 = 1 + -28 (-28 + -7x) + -41 = 1 + -28 Reorder the terms: -28 + -41 + -7x = 1 + -28 Combine like terms: -28 + -41 = -69 -69 + -7x = 1 + -28 Combine like terms: 1 + -28 = -27 -69 + -7x = -27 Solving -69 + -7x = -27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + -7x = -27 + 69 Combine like terms: -69 + 69 = 0 0 + -7x = -27 + 69 -7x = -27 + 69 Combine like terms: -27 + 69 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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