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Simplifying 6(1 + -1x) + -7(x + -2) = 0 (1 * 6 + -1x * 6) + -7(x + -2) = 0 (6 + -6x) + -7(x + -2) = 0 Reorder the terms: 6 + -6x + -7(-2 + x) = 0 6 + -6x + (-2 * -7 + x * -7) = 0 6 + -6x + (14 + -7x) = 0 Reorder the terms: 6 + 14 + -6x + -7x = 0 Combine like terms: 6 + 14 = 20 20 + -6x + -7x = 0 Combine like terms: -6x + -7x = -13x 20 + -13x = 0 Solving 20 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -13x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = 0 + -20 -13x = 0 + -20 Combine like terms: 0 + -20 = -20 -13x = -20 Divide each side by '-13'. x = 1.538461538 Simplifying x = 1.538461538
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