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Simplifying X + (x + -5) = (x + 6) + -1(x + 2) Reorder the terms: X + (-5 + x) = (x + 6) + -1(x + 2) Remove parenthesis around (-5 + x) X + -5 + x = (x + 6) + -1(x + 2) Reorder the terms: -5 + X + x = (x + 6) + -1(x + 2) Reorder the terms: -5 + X + x = (6 + x) + -1(x + 2) Remove parenthesis around (6 + x) -5 + X + x = 6 + x + -1(x + 2) Reorder the terms: -5 + X + x = 6 + x + -1(2 + x) -5 + X + x = 6 + x + (2 * -1 + x * -1) -5 + X + x = 6 + x + (-2 + -1x) Reorder the terms: -5 + X + x = 6 + -2 + x + -1x Combine like terms: 6 + -2 = 4 -5 + X + x = 4 + x + -1x Combine like terms: x + -1x = 0 -5 + X + x = 4 + 0 -5 + X + x = 4 Solving -5 + X + x = 4 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + X + 5 + x = 4 + 5 Reorder the terms: -5 + 5 + X + x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + X + x = 4 + 5 X + x = 4 + 5 Combine like terms: 4 + 5 = 9 X + x = 9 Add '-1x' to each side of the equation. X + x + -1x = 9 + -1x Combine like terms: x + -1x = 0 X + 0 = 9 + -1x X = 9 + -1x Simplifying X = 9 + -1x
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