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Simplifying 2(X + -2) = 3(2X + 1) Reorder the terms: 2(-2 + X) = 3(2X + 1) (-2 * 2 + X * 2) = 3(2X + 1) (-4 + 2X) = 3(2X + 1) Reorder the terms: -4 + 2X = 3(1 + 2X) -4 + 2X = (1 * 3 + 2X * 3) -4 + 2X = (3 + 6X) Solving -4 + 2X = 3 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -4 + 2X + -6X = 3 + 6X + -6X Combine like terms: 2X + -6X = -4X -4 + -4X = 3 + 6X + -6X Combine like terms: 6X + -6X = 0 -4 + -4X = 3 + 0 -4 + -4X = 3 Add '4' to each side of the equation. -4 + 4 + -4X = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -4X = 3 + 4 -4X = 3 + 4 Combine like terms: 3 + 4 = 7 -4X = 7 Divide each side by '-4'. X = -1.75 Simplifying X = -1.75
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