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Simplifying (2x + -3) + (3x + -1) = (x + -2) + -1(5 + -6x) Reorder the terms: (-3 + 2x) + (3x + -1) = (x + -2) + -1(5 + -6x) Remove parenthesis around (-3 + 2x) -3 + 2x + (3x + -1) = (x + -2) + -1(5 + -6x) Reorder the terms: -3 + 2x + (-1 + 3x) = (x + -2) + -1(5 + -6x) Remove parenthesis around (-1 + 3x) -3 + 2x + -1 + 3x = (x + -2) + -1(5 + -6x) Reorder the terms: -3 + -1 + 2x + 3x = (x + -2) + -1(5 + -6x) Combine like terms: -3 + -1 = -4 -4 + 2x + 3x = (x + -2) + -1(5 + -6x) Combine like terms: 2x + 3x = 5x -4 + 5x = (x + -2) + -1(5 + -6x) Reorder the terms: -4 + 5x = (-2 + x) + -1(5 + -6x) Remove parenthesis around (-2 + x) -4 + 5x = -2 + x + -1(5 + -6x) -4 + 5x = -2 + x + (5 * -1 + -6x * -1) -4 + 5x = -2 + x + (-5 + 6x) Reorder the terms: -4 + 5x = -2 + -5 + x + 6x Combine like terms: -2 + -5 = -7 -4 + 5x = -7 + x + 6x Combine like terms: x + 6x = 7x -4 + 5x = -7 + 7x Solving -4 + 5x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 5x + -7x = -7 + 7x + -7x Combine like terms: 5x + -7x = -2x -4 + -2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -2x = -7 + 0 -4 + -2x = -7 Add '4' to each side of the equation. -4 + 4 + -2x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -7 + 4 -2x = -7 + 4 Combine like terms: -7 + 4 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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