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Simplifying 1 + -1(7 + -1x) = 2 + -1(x + 5) 1 + (7 * -1 + -1x * -1) = 2 + -1(x + 5) 1 + (-7 + 1x) = 2 + -1(x + 5) Combine like terms: 1 + -7 = -6 -6 + 1x = 2 + -1(x + 5) Reorder the terms: -6 + 1x = 2 + -1(5 + x) -6 + 1x = 2 + (5 * -1 + x * -1) -6 + 1x = 2 + (-5 + -1x) Combine like terms: 2 + -5 = -3 -6 + 1x = -3 + -1x Solving -6 + 1x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 1x + x = -3 + -1x + x Combine like terms: 1x + x = 2x -6 + 2x = -3 + -1x + x Combine like terms: -1x + x = 0 -6 + 2x = -3 + 0 -6 + 2x = -3 Add '6' to each side of the equation. -6 + 6 + 2x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -3 + 6 2x = -3 + 6 Combine like terms: -3 + 6 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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