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Simplifying 2(X + 3) + -3(2x + -4) = 15 Reorder the terms: 2(3 + X) + -3(2x + -4) = 15 (3 * 2 + X * 2) + -3(2x + -4) = 15 (6 + 2X) + -3(2x + -4) = 15 Reorder the terms: 6 + 2X + -3(-4 + 2x) = 15 6 + 2X + (-4 * -3 + 2x * -3) = 15 6 + 2X + (12 + -6x) = 15 Reorder the terms: 6 + 12 + 2X + -6x = 15 Combine like terms: 6 + 12 = 18 18 + 2X + -6x = 15 Solving 18 + 2X + -6x = 15 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 2X + -18 + -6x = 15 + -18 Reorder the terms: 18 + -18 + 2X + -6x = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 2X + -6x = 15 + -18 2X + -6x = 15 + -18 Combine like terms: 15 + -18 = -3 2X + -6x = -3 Add '6x' to each side of the equation. 2X + -6x + 6x = -3 + 6x Combine like terms: -6x + 6x = 0 2X + 0 = -3 + 6x 2X = -3 + 6x Divide each side by '2'. X = -1.5 + 3x Simplifying X = -1.5 + 3x
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