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Simplifying -6(x + 7) + -41 = 1 + -48 Reorder the terms: -6(7 + x) + -41 = 1 + -48 (7 * -6 + x * -6) + -41 = 1 + -48 (-42 + -6x) + -41 = 1 + -48 Reorder the terms: -42 + -41 + -6x = 1 + -48 Combine like terms: -42 + -41 = -83 -83 + -6x = 1 + -48 Combine like terms: 1 + -48 = -47 -83 + -6x = -47 Solving -83 + -6x = -47 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 + -6x = -47 + 83 Combine like terms: -83 + 83 = 0 0 + -6x = -47 + 83 -6x = -47 + 83 Combine like terms: -47 + 83 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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