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Simplifying -7(1 + -2x) + -3(x + 6) = 41 (1 * -7 + -2x * -7) + -3(x + 6) = 41 (-7 + 14x) + -3(x + 6) = 41 Reorder the terms: -7 + 14x + -3(6 + x) = 41 -7 + 14x + (6 * -3 + x * -3) = 41 -7 + 14x + (-18 + -3x) = 41 Reorder the terms: -7 + -18 + 14x + -3x = 41 Combine like terms: -7 + -18 = -25 -25 + 14x + -3x = 41 Combine like terms: 14x + -3x = 11x -25 + 11x = 41 Solving -25 + 11x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 11x = 41 + 25 Combine like terms: -25 + 25 = 0 0 + 11x = 41 + 25 11x = 41 + 25 Combine like terms: 41 + 25 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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