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Simplifying (5 + -2x) + -1(4x + 6) + (4 + -5x) = (x + -8) + -1(5x + 6) Remove parenthesis around (5 + -2x) 5 + -2x + -1(4x + 6) + (4 + -5x) = (x + -8) + -1(5x + 6) Reorder the terms: 5 + -2x + -1(6 + 4x) + (4 + -5x) = (x + -8) + -1(5x + 6) 5 + -2x + (6 * -1 + 4x * -1) + (4 + -5x) = (x + -8) + -1(5x + 6) 5 + -2x + (-6 + -4x) + (4 + -5x) = (x + -8) + -1(5x + 6) Remove parenthesis around (4 + -5x) 5 + -2x + -6 + -4x + 4 + -5x = (x + -8) + -1(5x + 6) Reorder the terms: 5 + -6 + 4 + -2x + -4x + -5x = (x + -8) + -1(5x + 6) Combine like terms: 5 + -6 = -1 -1 + 4 + -2x + -4x + -5x = (x + -8) + -1(5x + 6) Combine like terms: -1 + 4 = 3 3 + -2x + -4x + -5x = (x + -8) + -1(5x + 6) Combine like terms: -2x + -4x = -6x 3 + -6x + -5x = (x + -8) + -1(5x + 6) Combine like terms: -6x + -5x = -11x 3 + -11x = (x + -8) + -1(5x + 6) Reorder the terms: 3 + -11x = (-8 + x) + -1(5x + 6) Remove parenthesis around (-8 + x) 3 + -11x = -8 + x + -1(5x + 6) Reorder the terms: 3 + -11x = -8 + x + -1(6 + 5x) 3 + -11x = -8 + x + (6 * -1 + 5x * -1) 3 + -11x = -8 + x + (-6 + -5x) Reorder the terms: 3 + -11x = -8 + -6 + x + -5x Combine like terms: -8 + -6 = -14 3 + -11x = -14 + x + -5x Combine like terms: x + -5x = -4x 3 + -11x = -14 + -4x Solving 3 + -11x = -14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + -11x + 4x = -14 + -4x + 4x Combine like terms: -11x + 4x = -7x 3 + -7x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -7x = -14 + 0 3 + -7x = -14 Add '-3' to each side of the equation. 3 + -3 + -7x = -14 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -14 + -3 -7x = -14 + -3 Combine like terms: -14 + -3 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429
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