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Simplifying X + -1(2x + 1) = 3 + -2(x + 3) Reorder the terms: X + -1(1 + 2x) = 3 + -2(x + 3) X + (1 * -1 + 2x * -1) = 3 + -2(x + 3) X + (-1 + -2x) = 3 + -2(x + 3) Reorder the terms: -1 + X + -2x = 3 + -2(x + 3) Reorder the terms: -1 + X + -2x = 3 + -2(3 + x) -1 + X + -2x = 3 + (3 * -2 + x * -2) -1 + X + -2x = 3 + (-6 + -2x) Combine like terms: 3 + -6 = -3 -1 + X + -2x = -3 + -2x Add '2x' to each side of the equation. -1 + X + -2x + 2x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + X + 0 = -3 + -2x + 2x -1 + X = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + X = -3 + 0 -1 + X = -3 Solving -1 + X = -3 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 + 1 + X = -3 + 1 Combine like terms: -1 + 1 = 0 0 + X = -3 + 1 X = -3 + 1 Combine like terms: -3 + 1 = -2 X = -2 Simplifying X = -2
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