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Simplifying 3(X + 2) + 4(X + -3) = 6(2x + 1) Reorder the terms: 3(2 + X) + 4(X + -3) = 6(2x + 1) (2 * 3 + X * 3) + 4(X + -3) = 6(2x + 1) (6 + 3X) + 4(X + -3) = 6(2x + 1) Reorder the terms: 6 + 3X + 4(-3 + X) = 6(2x + 1) 6 + 3X + (-3 * 4 + X * 4) = 6(2x + 1) 6 + 3X + (-12 + 4X) = 6(2x + 1) Reorder the terms: 6 + -12 + 3X + 4X = 6(2x + 1) Combine like terms: 6 + -12 = -6 -6 + 3X + 4X = 6(2x + 1) Combine like terms: 3X + 4X = 7X -6 + 7X = 6(2x + 1) Reorder the terms: -6 + 7X = 6(1 + 2x) -6 + 7X = (1 * 6 + 2x * 6) -6 + 7X = (6 + 12x) Solving -6 + 7X = 6 + 12x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7X = 6 + 6 + 12x Combine like terms: -6 + 6 = 0 0 + 7X = 6 + 6 + 12x 7X = 6 + 6 + 12x Combine like terms: 6 + 6 = 12 7X = 12 + 12x Divide each side by '7'. X = 1.714285714 + 1.714285714x Simplifying X = 1.714285714 + 1.714285714x
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