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Simplifying (-2x + -3) + -1(2x + 4) = (3x + -1) + -1(-2x + -3) Reorder the terms: (-3 + -2x) + -1(2x + 4) = (3x + -1) + -1(-2x + -3) Remove parenthesis around (-3 + -2x) -3 + -2x + -1(2x + 4) = (3x + -1) + -1(-2x + -3) Reorder the terms: -3 + -2x + -1(4 + 2x) = (3x + -1) + -1(-2x + -3) -3 + -2x + (4 * -1 + 2x * -1) = (3x + -1) + -1(-2x + -3) -3 + -2x + (-4 + -2x) = (3x + -1) + -1(-2x + -3) Reorder the terms: -3 + -4 + -2x + -2x = (3x + -1) + -1(-2x + -3) Combine like terms: -3 + -4 = -7 -7 + -2x + -2x = (3x + -1) + -1(-2x + -3) Combine like terms: -2x + -2x = -4x -7 + -4x = (3x + -1) + -1(-2x + -3) Reorder the terms: -7 + -4x = (-1 + 3x) + -1(-2x + -3) Remove parenthesis around (-1 + 3x) -7 + -4x = -1 + 3x + -1(-2x + -3) Reorder the terms: -7 + -4x = -1 + 3x + -1(-3 + -2x) -7 + -4x = -1 + 3x + (-3 * -1 + -2x * -1) -7 + -4x = -1 + 3x + (3 + 2x) Reorder the terms: -7 + -4x = -1 + 3 + 3x + 2x Combine like terms: -1 + 3 = 2 -7 + -4x = 2 + 3x + 2x Combine like terms: 3x + 2x = 5x -7 + -4x = 2 + 5x Solving -7 + -4x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + -4x + -5x = 2 + 5x + -5x Combine like terms: -4x + -5x = -9x -7 + -9x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -9x = 2 + 0 -7 + -9x = 2 Add '7' to each side of the equation. -7 + 7 + -9x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 2 + 7 -9x = 2 + 7 Combine like terms: 2 + 7 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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