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Simplifying 2X + (-2) + -1(-1) + -2x = x + 4 + (-1) + -1(-3x) 2X + -2 + -1(-1) + -2x = x + 4 + (-1) + -1(-3x) Multiply -1 * -1 2X + -2 + 1 + -2x = x + 4 + (-1) + -1(-3x) Reorder the terms: -2 + 1 + 2X + -2x = x + 4 + (-1) + -1(-3x) Combine like terms: -2 + 1 = -1 -1 + 2X + -2x = x + 4 + (-1) + -1(-3x) -1 + 2X + -2x = x + 4 + -1 + -1(-3x) Remove parenthesis around (-3x) -1 + 2X + -2x = x + 4 + -1 + -1 * -3x Multiply -1 * -3 -1 + 2X + -2x = x + 4 + -1 + 3x Reorder the terms: -1 + 2X + -2x = 4 + -1 + x + 3x Combine like terms: 4 + -1 = 3 -1 + 2X + -2x = 3 + x + 3x Combine like terms: x + 3x = 4x -1 + 2X + -2x = 3 + 4x Solving -1 + 2X + -2x = 3 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2X + 1 + -2x = 3 + 1 + 4x Reorder the terms: -1 + 1 + 2X + -2x = 3 + 1 + 4x Combine like terms: -1 + 1 = 0 0 + 2X + -2x = 3 + 1 + 4x 2X + -2x = 3 + 1 + 4x Combine like terms: 3 + 1 = 4 2X + -2x = 4 + 4x Add '2x' to each side of the equation. 2X + -2x + 2x = 4 + 4x + 2x Combine like terms: -2x + 2x = 0 2X + 0 = 4 + 4x + 2x 2X = 4 + 4x + 2x Combine like terms: 4x + 2x = 6x 2X = 4 + 6x Divide each side by '2'. X = 2 + 3x Simplifying X = 2 + 3x
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