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Simplifying (X + -2) + -5(x + 3) = x + -6(x + -5) Reorder the terms: (-2 + X) + -5(x + 3) = x + -6(x + -5) Remove parenthesis around (-2 + X) -2 + X + -5(x + 3) = x + -6(x + -5) Reorder the terms: -2 + X + -5(3 + x) = x + -6(x + -5) -2 + X + (3 * -5 + x * -5) = x + -6(x + -5) -2 + X + (-15 + -5x) = x + -6(x + -5) Reorder the terms: -2 + -15 + X + -5x = x + -6(x + -5) Combine like terms: -2 + -15 = -17 -17 + X + -5x = x + -6(x + -5) Reorder the terms: -17 + X + -5x = x + -6(-5 + x) -17 + X + -5x = x + (-5 * -6 + x * -6) -17 + X + -5x = x + (30 + -6x) Reorder the terms: -17 + X + -5x = 30 + x + -6x Combine like terms: x + -6x = -5x -17 + X + -5x = 30 + -5x Add '5x' to each side of the equation. -17 + X + -5x + 5x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -17 + X + 0 = 30 + -5x + 5x -17 + X = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -17 + X = 30 + 0 -17 + X = 30 Solving -17 + X = 30 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + X = 30 + 17 Combine like terms: -17 + 17 = 0 0 + X = 30 + 17 X = 30 + 17 Combine like terms: 30 + 17 = 47 X = 47 Simplifying X = 47
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