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Simplifying 6(2x + 1) + -3(5x + 2) = 0 Reorder the terms: 6(1 + 2x) + -3(5x + 2) = 0 (1 * 6 + 2x * 6) + -3(5x + 2) = 0 (6 + 12x) + -3(5x + 2) = 0 Reorder the terms: 6 + 12x + -3(2 + 5x) = 0 6 + 12x + (2 * -3 + 5x * -3) = 0 6 + 12x + (-6 + -15x) = 0 Reorder the terms: 6 + -6 + 12x + -15x = 0 Combine like terms: 6 + -6 = 0 0 + 12x + -15x = 0 12x + -15x = 0 Combine like terms: 12x + -15x = -3x -3x = 0 Solving -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-3'. x = 0 Simplifying x = 0
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