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