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Simplifying 7(-1x + -1) + 4(1 + -1x) = 1 Reorder the terms: 7(-1 + -1x) + 4(1 + -1x) = 1 (-1 * 7 + -1x * 7) + 4(1 + -1x) = 1 (-7 + -7x) + 4(1 + -1x) = 1 -7 + -7x + (1 * 4 + -1x * 4) = 1 -7 + -7x + (4 + -4x) = 1 Reorder the terms: -7 + 4 + -7x + -4x = 1 Combine like terms: -7 + 4 = -3 -3 + -7x + -4x = 1 Combine like terms: -7x + -4x = -11x -3 + -11x = 1 Solving -3 + -11x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -11x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = 1 + 3 -11x = 1 + 3 Combine like terms: 1 + 3 = 4 -11x = 4 Divide each side by '-11'. x = -0.3636363636 Simplifying x = -0.3636363636
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