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