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Simplifying 3(3x + 1) = 4(5x + -2) + 11 Reorder the terms: 3(1 + 3x) = 4(5x + -2) + 11 (1 * 3 + 3x * 3) = 4(5x + -2) + 11 (3 + 9x) = 4(5x + -2) + 11 Reorder the terms: 3 + 9x = 4(-2 + 5x) + 11 3 + 9x = (-2 * 4 + 5x * 4) + 11 3 + 9x = (-8 + 20x) + 11 Reorder the terms: 3 + 9x = -8 + 11 + 20x Combine like terms: -8 + 11 = 3 3 + 9x = 3 + 20x Add '-3' to each side of the equation. 3 + -3 + 9x = 3 + -3 + 20x Combine like terms: 3 + -3 = 0 0 + 9x = 3 + -3 + 20x 9x = 3 + -3 + 20x Combine like terms: 3 + -3 = 0 9x = 0 + 20x 9x = 20x Solving 9x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 9x + -20x = 20x + -20x Combine like terms: 9x + -20x = -11x -11x = 20x + -20x Combine like terms: 20x + -20x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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