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Simplifying X + -1(5 + -2x) + -1(4x + -11) = 5x + -13 X + (5 * -1 + -2x * -1) + -1(4x + -11) = 5x + -13 X + (-5 + 2x) + -1(4x + -11) = 5x + -13 Reorder the terms: X + -5 + 2x + -1(-11 + 4x) = 5x + -13 X + -5 + 2x + (-11 * -1 + 4x * -1) = 5x + -13 X + -5 + 2x + (11 + -4x) = 5x + -13 Reorder the terms: -5 + 11 + X + 2x + -4x = 5x + -13 Combine like terms: -5 + 11 = 6 6 + X + 2x + -4x = 5x + -13 Combine like terms: 2x + -4x = -2x 6 + X + -2x = 5x + -13 Reorder the terms: 6 + X + -2x = -13 + 5x Solving 6 + X + -2x = -13 + 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + X + -6 + -2x = -13 + -6 + 5x Reorder the terms: 6 + -6 + X + -2x = -13 + -6 + 5x Combine like terms: 6 + -6 = 0 0 + X + -2x = -13 + -6 + 5x X + -2x = -13 + -6 + 5x Combine like terms: -13 + -6 = -19 X + -2x = -19 + 5x Add '2x' to each side of the equation. X + -2x + 2x = -19 + 5x + 2x Combine like terms: -2x + 2x = 0 X + 0 = -19 + 5x + 2x X = -19 + 5x + 2x Combine like terms: 5x + 2x = 7x X = -19 + 7x Simplifying X = -19 + 7x
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