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Simplifying -3(1 + -3x) + 2(X + -2) = 3x + x (1 * -3 + -3x * -3) + 2(X + -2) = 3x + x (-3 + 9x) + 2(X + -2) = 3x + x Reorder the terms: -3 + 9x + 2(-2 + X) = 3x + x -3 + 9x + (-2 * 2 + X * 2) = 3x + x -3 + 9x + (-4 + 2X) = 3x + x Reorder the terms: -3 + -4 + 2X + 9x = 3x + x Combine like terms: -3 + -4 = -7 -7 + 2X + 9x = 3x + x Combine like terms: 3x + x = 4x -7 + 2X + 9x = 4x Solving -7 + 2X + 9x = 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 2X + 7 + 9x = 7 + 4x Reorder the terms: -7 + 7 + 2X + 9x = 7 + 4x Combine like terms: -7 + 7 = 0 0 + 2X + 9x = 7 + 4x 2X + 9x = 7 + 4x Add '-9x' to each side of the equation. 2X + 9x + -9x = 7 + 4x + -9x Combine like terms: 9x + -9x = 0 2X + 0 = 7 + 4x + -9x 2X = 7 + 4x + -9x Combine like terms: 4x + -9x = -5x 2X = 7 + -5x Divide each side by '2'. X = 3.5 + -2.5x Simplifying X = 3.5 + -2.5x
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