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Simplifying X + -1(138 + -1x)(x + 13) = 180 Reorder the terms: X + -1(138 + -1x)(13 + x) = 180 Multiply (138 + -1x) * (13 + x) X + -1(138(13 + x) + -1x * (13 + x)) = 180 X + -1((13 * 138 + x * 138) + -1x * (13 + x)) = 180 X + -1((1794 + 138x) + -1x * (13 + x)) = 180 X + -1(1794 + 138x + (13 * -1x + x * -1x)) = 180 X + -1(1794 + 138x + (-13x + -1x2)) = 180 Combine like terms: 138x + -13x = 125x X + -1(1794 + 125x + -1x2) = 180 X + (1794 * -1 + 125x * -1 + -1x2 * -1) = 180 X + (-1794 + -125x + 1x2) = 180 Reorder the terms: -1794 + X + -125x + 1x2 = 180 Solving -1794 + X + -125x + 1x2 = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1794' to each side of the equation. -1794 + X + -125x + 1794 + 1x2 = 180 + 1794 Reorder the terms: -1794 + 1794 + X + -125x + 1x2 = 180 + 1794 Combine like terms: -1794 + 1794 = 0 0 + X + -125x + 1x2 = 180 + 1794 X + -125x + 1x2 = 180 + 1794 Combine like terms: 180 + 1794 = 1974 X + -125x + 1x2 = 1974 Add '125x' to each side of the equation. X + -125x + 125x + 1x2 = 1974 + 125x Combine like terms: -125x + 125x = 0 X + 0 + 1x2 = 1974 + 125x X + 1x2 = 1974 + 125x Add '-1x2' to each side of the equation. X + 1x2 + -1x2 = 1974 + 125x + -1x2 Combine like terms: 1x2 + -1x2 = 0 X + 0 = 1974 + 125x + -1x2 X = 1974 + 125x + -1x2 Simplifying X = 1974 + 125x + -1x2
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