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Simplifying 6x + (4x + -5) + -1(3x + -2) = -2 + (4x + -3) + 2X Reorder the terms: 6x + (-5 + 4x) + -1(3x + -2) = -2 + (4x + -3) + 2X Remove parenthesis around (-5 + 4x) 6x + -5 + 4x + -1(3x + -2) = -2 + (4x + -3) + 2X Reorder the terms: 6x + -5 + 4x + -1(-2 + 3x) = -2 + (4x + -3) + 2X 6x + -5 + 4x + (-2 * -1 + 3x * -1) = -2 + (4x + -3) + 2X 6x + -5 + 4x + (2 + -3x) = -2 + (4x + -3) + 2X Reorder the terms: -5 + 2 + 6x + 4x + -3x = -2 + (4x + -3) + 2X Combine like terms: -5 + 2 = -3 -3 + 6x + 4x + -3x = -2 + (4x + -3) + 2X Combine like terms: 6x + 4x = 10x -3 + 10x + -3x = -2 + (4x + -3) + 2X Combine like terms: 10x + -3x = 7x -3 + 7x = -2 + (4x + -3) + 2X Reorder the terms: -3 + 7x = -2 + (-3 + 4x) + 2X Remove parenthesis around (-3 + 4x) -3 + 7x = -2 + -3 + 4x + 2X Reorder the terms: -3 + 7x = -2 + -3 + 2X + 4x Combine like terms: -2 + -3 = -5 -3 + 7x = -5 + 2X + 4x Solving -3 + 7x = -5 + 2X + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 7x + -4x = -5 + 2X + 4x + -4x Combine like terms: 7x + -4x = 3x -3 + 3x = -5 + 2X + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 3x = -5 + 2X + 0 -3 + 3x = -5 + 2X Add '3' to each side of the equation. -3 + 3 + 3x = -5 + 3 + 2X Combine like terms: -3 + 3 = 0 0 + 3x = -5 + 3 + 2X 3x = -5 + 3 + 2X Combine like terms: -5 + 3 = -2 3x = -2 + 2X Divide each side by '3'. x = -0.6666666667 + 0.6666666667X Simplifying x = -0.6666666667 + 0.6666666667X
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