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Simplifying 2(3x + -3) + 2(X + -3) = 2x + -1 + 2x + 2x + -1 + 2x Reorder the terms: 2(-3 + 3x) + 2(X + -3) = 2x + -1 + 2x + 2x + -1 + 2x (-3 * 2 + 3x * 2) + 2(X + -3) = 2x + -1 + 2x + 2x + -1 + 2x (-6 + 6x) + 2(X + -3) = 2x + -1 + 2x + 2x + -1 + 2x Reorder the terms: -6 + 6x + 2(-3 + X) = 2x + -1 + 2x + 2x + -1 + 2x -6 + 6x + (-3 * 2 + X * 2) = 2x + -1 + 2x + 2x + -1 + 2x -6 + 6x + (-6 + 2X) = 2x + -1 + 2x + 2x + -1 + 2x Reorder the terms: -6 + -6 + 2X + 6x = 2x + -1 + 2x + 2x + -1 + 2x Combine like terms: -6 + -6 = -12 -12 + 2X + 6x = 2x + -1 + 2x + 2x + -1 + 2x Reorder the terms: -12 + 2X + 6x = -1 + -1 + 2x + 2x + 2x + 2x Combine like terms: -1 + -1 = -2 -12 + 2X + 6x = -2 + 2x + 2x + 2x + 2x Combine like terms: 2x + 2x = 4x -12 + 2X + 6x = -2 + 4x + 2x + 2x Combine like terms: 4x + 2x = 6x -12 + 2X + 6x = -2 + 6x + 2x Combine like terms: 6x + 2x = 8x -12 + 2X + 6x = -2 + 8x Solving -12 + 2X + 6x = -2 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2X + 12 + 6x = -2 + 12 + 8x Reorder the terms: -12 + 12 + 2X + 6x = -2 + 12 + 8x Combine like terms: -12 + 12 = 0 0 + 2X + 6x = -2 + 12 + 8x 2X + 6x = -2 + 12 + 8x Combine like terms: -2 + 12 = 10 2X + 6x = 10 + 8x Add '-6x' to each side of the equation. 2X + 6x + -6x = 10 + 8x + -6x Combine like terms: 6x + -6x = 0 2X + 0 = 10 + 8x + -6x 2X = 10 + 8x + -6x Combine like terms: 8x + -6x = 2x 2X = 10 + 2x Divide each side by '2'. X = 5 + x Simplifying X = 5 + x
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