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Simplifying 11x + -2(3x + -7) = 5(5x + 4) + -6 Reorder the terms: 11x + -2(-7 + 3x) = 5(5x + 4) + -6 11x + (-7 * -2 + 3x * -2) = 5(5x + 4) + -6 11x + (14 + -6x) = 5(5x + 4) + -6 Reorder the terms: 14 + 11x + -6x = 5(5x + 4) + -6 Combine like terms: 11x + -6x = 5x 14 + 5x = 5(5x + 4) + -6 Reorder the terms: 14 + 5x = 5(4 + 5x) + -6 14 + 5x = (4 * 5 + 5x * 5) + -6 14 + 5x = (20 + 25x) + -6 Reorder the terms: 14 + 5x = 20 + -6 + 25x Combine like terms: 20 + -6 = 14 14 + 5x = 14 + 25x Add '-14' to each side of the equation. 14 + -14 + 5x = 14 + -14 + 25x Combine like terms: 14 + -14 = 0 0 + 5x = 14 + -14 + 25x 5x = 14 + -14 + 25x Combine like terms: 14 + -14 = 0 5x = 0 + 25x 5x = 25x Solving 5x = 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 5x + -25x = 25x + -25x Combine like terms: 5x + -25x = -20x -20x = 25x + -25x Combine like terms: 25x + -25x = 0 -20x = 0 Divide each side by '-20'. x = 0.0 Simplifying x = 0.0
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