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Simplifying 3(5x + -2) + 2(3x + 1) = 0 Reorder the terms: 3(-2 + 5x) + 2(3x + 1) = 0 (-2 * 3 + 5x * 3) + 2(3x + 1) = 0 (-6 + 15x) + 2(3x + 1) = 0 Reorder the terms: -6 + 15x + 2(1 + 3x) = 0 -6 + 15x + (1 * 2 + 3x * 2) = 0 -6 + 15x + (2 + 6x) = 0 Reorder the terms: -6 + 2 + 15x + 6x = 0 Combine like terms: -6 + 2 = -4 -4 + 15x + 6x = 0 Combine like terms: 15x + 6x = 21x -4 + 21x = 0 Solving -4 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 21x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 21x = 0 + 4 21x = 0 + 4 Combine like terms: 0 + 4 = 4 21x = 4 Divide each side by '21'. x = 0.1904761905 Simplifying x = 0.1904761905
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