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Simplifying X + 2(x + -5) + (x + -1) = 2(-18 + x) + x2 Reorder the terms: X + 2(-5 + x) + (x + -1) = 2(-18 + x) + x2 X + (-5 * 2 + x * 2) + (x + -1) = 2(-18 + x) + x2 X + (-10 + 2x) + (x + -1) = 2(-18 + x) + x2 Reorder the terms: X + -10 + 2x + (-1 + x) = 2(-18 + x) + x2 Remove parenthesis around (-1 + x) X + -10 + 2x + -1 + x = 2(-18 + x) + x2 Reorder the terms: -10 + -1 + X + 2x + x = 2(-18 + x) + x2 Combine like terms: -10 + -1 = -11 -11 + X + 2x + x = 2(-18 + x) + x2 Combine like terms: 2x + x = 3x -11 + X + 3x = 2(-18 + x) + x2 -11 + X + 3x = (-18 * 2 + x * 2) + x2 -11 + X + 3x = (-36 + 2x) + x2 Solving -11 + X + 3x = -36 + 2x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '11' to each side of the equation. -11 + X + 11 + 3x = -36 + 2x + 11 + x2 Reorder the terms: -11 + 11 + X + 3x = -36 + 2x + 11 + x2 Combine like terms: -11 + 11 = 0 0 + X + 3x = -36 + 2x + 11 + x2 X + 3x = -36 + 2x + 11 + x2 Reorder the terms: X + 3x = -36 + 11 + 2x + x2 Combine like terms: -36 + 11 = -25 X + 3x = -25 + 2x + x2 Add '-3x' to each side of the equation. X + 3x + -3x = -25 + 2x + -3x + x2 Combine like terms: 3x + -3x = 0 X + 0 = -25 + 2x + -3x + x2 X = -25 + 2x + -3x + x2 Combine like terms: 2x + -3x = -1x X = -25 + -1x + x2 Simplifying X = -25 + -1x + x2
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