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Simplifying 6(5x + 6) + -1(x + 7) = 2 Reorder the terms: 6(6 + 5x) + -1(x + 7) = 2 (6 * 6 + 5x * 6) + -1(x + 7) = 2 (36 + 30x) + -1(x + 7) = 2 Reorder the terms: 36 + 30x + -1(7 + x) = 2 36 + 30x + (7 * -1 + x * -1) = 2 36 + 30x + (-7 + -1x) = 2 Reorder the terms: 36 + -7 + 30x + -1x = 2 Combine like terms: 36 + -7 = 29 29 + 30x + -1x = 2 Combine like terms: 30x + -1x = 29x 29 + 29x = 2 Solving 29 + 29x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 29x = 2 + -29 Combine like terms: 29 + -29 = 0 0 + 29x = 2 + -29 29x = 2 + -29 Combine like terms: 2 + -29 = -27 29x = -27 Divide each side by '29'. x = -0.9310344828 Simplifying x = -0.9310344828
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