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Simplifying (5 + -2x) + -1(3x + 2) = (5x + -11) + -1(3x + 6) Remove parenthesis around (5 + -2x) 5 + -2x + -1(3x + 2) = (5x + -11) + -1(3x + 6) Reorder the terms: 5 + -2x + -1(2 + 3x) = (5x + -11) + -1(3x + 6) 5 + -2x + (2 * -1 + 3x * -1) = (5x + -11) + -1(3x + 6) 5 + -2x + (-2 + -3x) = (5x + -11) + -1(3x + 6) Reorder the terms: 5 + -2 + -2x + -3x = (5x + -11) + -1(3x + 6) Combine like terms: 5 + -2 = 3 3 + -2x + -3x = (5x + -11) + -1(3x + 6) Combine like terms: -2x + -3x = -5x 3 + -5x = (5x + -11) + -1(3x + 6) Reorder the terms: 3 + -5x = (-11 + 5x) + -1(3x + 6) Remove parenthesis around (-11 + 5x) 3 + -5x = -11 + 5x + -1(3x + 6) Reorder the terms: 3 + -5x = -11 + 5x + -1(6 + 3x) 3 + -5x = -11 + 5x + (6 * -1 + 3x * -1) 3 + -5x = -11 + 5x + (-6 + -3x) Reorder the terms: 3 + -5x = -11 + -6 + 5x + -3x Combine like terms: -11 + -6 = -17 3 + -5x = -17 + 5x + -3x Combine like terms: 5x + -3x = 2x 3 + -5x = -17 + 2x Solving 3 + -5x = -17 + 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. 3 + -5x + -2x = -17 + 2x + -2x Combine like terms: -5x + -2x = -7x 3 + -7x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -7x = -17 + 0 3 + -7x = -17 Add '-3' to each side of the equation. 3 + -3 + -7x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -17 + -3 -7x = -17 + -3 Combine like terms: -17 + -3 = -20 -7x = -20 Divide each side by '-7'. x = 2.857142857 Simplifying x = 2.857142857
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