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Simplifying 4(2 + -3x) + -3(X + -1) = 5(3 + -2x) (2 * 4 + -3x * 4) + -3(X + -1) = 5(3 + -2x) (8 + -12x) + -3(X + -1) = 5(3 + -2x) Reorder the terms: 8 + -12x + -3(-1 + X) = 5(3 + -2x) 8 + -12x + (-1 * -3 + X * -3) = 5(3 + -2x) 8 + -12x + (3 + -3X) = 5(3 + -2x) Reorder the terms: 8 + 3 + -3X + -12x = 5(3 + -2x) Combine like terms: 8 + 3 = 11 11 + -3X + -12x = 5(3 + -2x) 11 + -3X + -12x = (3 * 5 + -2x * 5) 11 + -3X + -12x = (15 + -10x) Solving 11 + -3X + -12x = 15 + -10x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -3X + -11 + -12x = 15 + -11 + -10x Reorder the terms: 11 + -11 + -3X + -12x = 15 + -11 + -10x Combine like terms: 11 + -11 = 0 0 + -3X + -12x = 15 + -11 + -10x -3X + -12x = 15 + -11 + -10x Combine like terms: 15 + -11 = 4 -3X + -12x = 4 + -10x Add '12x' to each side of the equation. -3X + -12x + 12x = 4 + -10x + 12x Combine like terms: -12x + 12x = 0 -3X + 0 = 4 + -10x + 12x -3X = 4 + -10x + 12x Combine like terms: -10x + 12x = 2x -3X = 4 + 2x Divide each side by '-3'. X = -1.333333333 + -0.6666666667x Simplifying X = -1.333333333 + -0.6666666667x
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