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Simplifying (X + 5) + -1(x + -7) = 12 Reorder the terms: (5 + X) + -1(x + -7) = 12 Remove parenthesis around (5 + X) 5 + X + -1(x + -7) = 12 Reorder the terms: 5 + X + -1(-7 + x) = 12 5 + X + (-7 * -1 + x * -1) = 12 5 + X + (7 + -1x) = 12 Reorder the terms: 5 + 7 + X + -1x = 12 Combine like terms: 5 + 7 = 12 12 + X + -1x = 12 Add '-12' to each side of the equation. 12 + X + -12 + -1x = 12 + -12 Reorder the terms: 12 + -12 + X + -1x = 12 + -12 Combine like terms: 12 + -12 = 0 0 + X + -1x = 12 + -12 X + -1x = 12 + -12 Combine like terms: 12 + -12 = 0 X + -1x = 0 Solving X + -1x = 0 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. X + -1x + x = 0 + x Combine like terms: -1x + x = 0 X + 0 = 0 + x X = 0 + x Remove the zero: X = x Simplifying X = x
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