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Simplifying 3(2 + -3x) + -5(4 + -5x) = 11x + 6 (2 * 3 + -3x * 3) + -5(4 + -5x) = 11x + 6 (6 + -9x) + -5(4 + -5x) = 11x + 6 6 + -9x + (4 * -5 + -5x * -5) = 11x + 6 6 + -9x + (-20 + 25x) = 11x + 6 Reorder the terms: 6 + -20 + -9x + 25x = 11x + 6 Combine like terms: 6 + -20 = -14 -14 + -9x + 25x = 11x + 6 Combine like terms: -9x + 25x = 16x -14 + 16x = 11x + 6 Reorder the terms: -14 + 16x = 6 + 11x Solving -14 + 16x = 6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -14 + 16x + -11x = 6 + 11x + -11x Combine like terms: 16x + -11x = 5x -14 + 5x = 6 + 11x + -11x Combine like terms: 11x + -11x = 0 -14 + 5x = 6 + 0 -14 + 5x = 6 Add '14' to each side of the equation. -14 + 14 + 5x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 6 + 14 5x = 6 + 14 Combine like terms: 6 + 14 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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