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Simplifying (3 + -2x) + -1(x + 4) + -1(2x + 5) = (3x + -4) + -1(5x + 7) Remove parenthesis around (3 + -2x) 3 + -2x + -1(x + 4) + -1(2x + 5) = (3x + -4) + -1(5x + 7) Reorder the terms: 3 + -2x + -1(4 + x) + -1(2x + 5) = (3x + -4) + -1(5x + 7) 3 + -2x + (4 * -1 + x * -1) + -1(2x + 5) = (3x + -4) + -1(5x + 7) 3 + -2x + (-4 + -1x) + -1(2x + 5) = (3x + -4) + -1(5x + 7) Reorder the terms: 3 + -2x + -4 + -1x + -1(5 + 2x) = (3x + -4) + -1(5x + 7) 3 + -2x + -4 + -1x + (5 * -1 + 2x * -1) = (3x + -4) + -1(5x + 7) 3 + -2x + -4 + -1x + (-5 + -2x) = (3x + -4) + -1(5x + 7) Reorder the terms: 3 + -4 + -5 + -2x + -1x + -2x = (3x + -4) + -1(5x + 7) Combine like terms: 3 + -4 = -1 -1 + -5 + -2x + -1x + -2x = (3x + -4) + -1(5x + 7) Combine like terms: -1 + -5 = -6 -6 + -2x + -1x + -2x = (3x + -4) + -1(5x + 7) Combine like terms: -2x + -1x = -3x -6 + -3x + -2x = (3x + -4) + -1(5x + 7) Combine like terms: -3x + -2x = -5x -6 + -5x = (3x + -4) + -1(5x + 7) Reorder the terms: -6 + -5x = (-4 + 3x) + -1(5x + 7) Remove parenthesis around (-4 + 3x) -6 + -5x = -4 + 3x + -1(5x + 7) Reorder the terms: -6 + -5x = -4 + 3x + -1(7 + 5x) -6 + -5x = -4 + 3x + (7 * -1 + 5x * -1) -6 + -5x = -4 + 3x + (-7 + -5x) Reorder the terms: -6 + -5x = -4 + -7 + 3x + -5x Combine like terms: -4 + -7 = -11 -6 + -5x = -11 + 3x + -5x Combine like terms: 3x + -5x = -2x -6 + -5x = -11 + -2x Solving -6 + -5x = -11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + -5x + 2x = -11 + -2x + 2x Combine like terms: -5x + 2x = -3x -6 + -3x = -11 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -3x = -11 + 0 -6 + -3x = -11 Add '6' to each side of the equation. -6 + 6 + -3x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -11 + 6 -3x = -11 + 6 Combine like terms: -11 + 6 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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