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Simplifying -4x + (-3x + -7) + -6 = -3x + -2 + -1(2x + 5) Reorder the terms: -4x + (-7 + -3x) + -6 = -3x + -2 + -1(2x + 5) Remove parenthesis around (-7 + -3x) -4x + -7 + -3x + -6 = -3x + -2 + -1(2x + 5) Reorder the terms: -7 + -6 + -4x + -3x = -3x + -2 + -1(2x + 5) Combine like terms: -7 + -6 = -13 -13 + -4x + -3x = -3x + -2 + -1(2x + 5) Combine like terms: -4x + -3x = -7x -13 + -7x = -3x + -2 + -1(2x + 5) Reorder the terms: -13 + -7x = -3x + -2 + -1(5 + 2x) -13 + -7x = -3x + -2 + (5 * -1 + 2x * -1) -13 + -7x = -3x + -2 + (-5 + -2x) Reorder the terms: -13 + -7x = -2 + -5 + -3x + -2x Combine like terms: -2 + -5 = -7 -13 + -7x = -7 + -3x + -2x Combine like terms: -3x + -2x = -5x -13 + -7x = -7 + -5x Solving -13 + -7x = -7 + -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. -13 + -7x + 5x = -7 + -5x + 5x Combine like terms: -7x + 5x = -2x -13 + -2x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 -13 + -2x = -7 + 0 -13 + -2x = -7 Add '13' to each side of the equation. -13 + 13 + -2x = -7 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = -7 + 13 -2x = -7 + 13 Combine like terms: -7 + 13 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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