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Simplifying (4x + -6) + -5(3x + -1) = (5x + -2) + -1(9x + 20) Reorder the terms: (-6 + 4x) + -5(3x + -1) = (5x + -2) + -1(9x + 20) Remove parenthesis around (-6 + 4x) -6 + 4x + -5(3x + -1) = (5x + -2) + -1(9x + 20) Reorder the terms: -6 + 4x + -5(-1 + 3x) = (5x + -2) + -1(9x + 20) -6 + 4x + (-1 * -5 + 3x * -5) = (5x + -2) + -1(9x + 20) -6 + 4x + (5 + -15x) = (5x + -2) + -1(9x + 20) Reorder the terms: -6 + 5 + 4x + -15x = (5x + -2) + -1(9x + 20) Combine like terms: -6 + 5 = -1 -1 + 4x + -15x = (5x + -2) + -1(9x + 20) Combine like terms: 4x + -15x = -11x -1 + -11x = (5x + -2) + -1(9x + 20) Reorder the terms: -1 + -11x = (-2 + 5x) + -1(9x + 20) Remove parenthesis around (-2 + 5x) -1 + -11x = -2 + 5x + -1(9x + 20) Reorder the terms: -1 + -11x = -2 + 5x + -1(20 + 9x) -1 + -11x = -2 + 5x + (20 * -1 + 9x * -1) -1 + -11x = -2 + 5x + (-20 + -9x) Reorder the terms: -1 + -11x = -2 + -20 + 5x + -9x Combine like terms: -2 + -20 = -22 -1 + -11x = -22 + 5x + -9x Combine like terms: 5x + -9x = -4x -1 + -11x = -22 + -4x Solving -1 + -11x = -22 + -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. -1 + -11x + 4x = -22 + -4x + 4x Combine like terms: -11x + 4x = -7x -1 + -7x = -22 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + -7x = -22 + 0 -1 + -7x = -22 Add '1' to each side of the equation. -1 + 1 + -7x = -22 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = -22 + 1 -7x = -22 + 1 Combine like terms: -22 + 1 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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