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Simplifying 2(3x + 1) + 7(x + -2) = 0 Reorder the terms: 2(1 + 3x) + 7(x + -2) = 0 (1 * 2 + 3x * 2) + 7(x + -2) = 0 (2 + 6x) + 7(x + -2) = 0 Reorder the terms: 2 + 6x + 7(-2 + x) = 0 2 + 6x + (-2 * 7 + x * 7) = 0 2 + 6x + (-14 + 7x) = 0 Reorder the terms: 2 + -14 + 6x + 7x = 0 Combine like terms: 2 + -14 = -12 -12 + 6x + 7x = 0 Combine like terms: 6x + 7x = 13x -12 + 13x = 0 Solving -12 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 13x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 0 + 12 13x = 0 + 12 Combine like terms: 0 + 12 = 12 13x = 12 Divide each side by '13'. x = 0.9230769231 Simplifying x = 0.9230769231
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