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Simplifying 14 + 4x + -7(5x + 2) + 11x = 5(-3x + 6) Reorder the terms: 14 + 4x + -7(2 + 5x) + 11x = 5(-3x + 6) 14 + 4x + (2 * -7 + 5x * -7) + 11x = 5(-3x + 6) 14 + 4x + (-14 + -35x) + 11x = 5(-3x + 6) Reorder the terms: 14 + -14 + 4x + -35x + 11x = 5(-3x + 6) Combine like terms: 14 + -14 = 0 0 + 4x + -35x + 11x = 5(-3x + 6) 4x + -35x + 11x = 5(-3x + 6) Combine like terms: 4x + -35x = -31x -31x + 11x = 5(-3x + 6) Combine like terms: -31x + 11x = -20x -20x = 5(-3x + 6) Reorder the terms: -20x = 5(6 + -3x) -20x = (6 * 5 + -3x * 5) -20x = (30 + -15x) Solving -20x = 30 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -20x + 15x = 30 + -15x + 15x Combine like terms: -20x + 15x = -5x -5x = 30 + -15x + 15x Combine like terms: -15x + 15x = 0 -5x = 30 + 0 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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