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Simplifying 3(X + 4) + -1(2x + -3) = x + 15 Reorder the terms: 3(4 + X) + -1(2x + -3) = x + 15 (4 * 3 + X * 3) + -1(2x + -3) = x + 15 (12 + 3X) + -1(2x + -3) = x + 15 Reorder the terms: 12 + 3X + -1(-3 + 2x) = x + 15 12 + 3X + (-3 * -1 + 2x * -1) = x + 15 12 + 3X + (3 + -2x) = x + 15 Reorder the terms: 12 + 3 + 3X + -2x = x + 15 Combine like terms: 12 + 3 = 15 15 + 3X + -2x = x + 15 Reorder the terms: 15 + 3X + -2x = 15 + x Add '-15' to each side of the equation. 15 + 3X + -15 + -2x = 15 + -15 + x Reorder the terms: 15 + -15 + 3X + -2x = 15 + -15 + x Combine like terms: 15 + -15 = 0 0 + 3X + -2x = 15 + -15 + x 3X + -2x = 15 + -15 + x Combine like terms: 15 + -15 = 0 3X + -2x = 0 + x 3X + -2x = x Solving 3X + -2x = x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2x' to each side of the equation. 3X + -2x + 2x = x + 2x Combine like terms: -2x + 2x = 0 3X + 0 = x + 2x 3X = x + 2x Combine like terms: x + 2x = 3x 3X = 3x Divide each side by '3'. X = x Simplifying X = x
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