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Simplifying 3(2x + 3) + 7(x + -2) = 0 Reorder the terms: 3(3 + 2x) + 7(x + -2) = 0 (3 * 3 + 2x * 3) + 7(x + -2) = 0 (9 + 6x) + 7(x + -2) = 0 Reorder the terms: 9 + 6x + 7(-2 + x) = 0 9 + 6x + (-2 * 7 + x * 7) = 0 9 + 6x + (-14 + 7x) = 0 Reorder the terms: 9 + -14 + 6x + 7x = 0 Combine like terms: 9 + -14 = -5 -5 + 6x + 7x = 0 Combine like terms: 6x + 7x = 13x -5 + 13x = 0 Solving -5 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 13x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 0 + 5 13x = 0 + 5 Combine like terms: 0 + 5 = 5 13x = 5 Divide each side by '13'. x = 0.3846153846 Simplifying x = 0.3846153846
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