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Simplifying 7(x + -2) + 6(x + 1) = 0 Reorder the terms: 7(-2 + x) + 6(x + 1) = 0 (-2 * 7 + x * 7) + 6(x + 1) = 0 (-14 + 7x) + 6(x + 1) = 0 Reorder the terms: -14 + 7x + 6(1 + x) = 0 -14 + 7x + (1 * 6 + x * 6) = 0 -14 + 7x + (6 + 6x) = 0 Reorder the terms: -14 + 6 + 7x + 6x = 0 Combine like terms: -14 + 6 = -8 -8 + 7x + 6x = 0 Combine like terms: 7x + 6x = 13x -8 + 13x = 0 Solving -8 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 13x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 0 + 8 13x = 0 + 8 Combine like terms: 0 + 8 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154
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