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Simplifying 2(3x + 1) = 4 + 5(7x + -6) Reorder the terms: 2(1 + 3x) = 4 + 5(7x + -6) (1 * 2 + 3x * 2) = 4 + 5(7x + -6) (2 + 6x) = 4 + 5(7x + -6) Reorder the terms: 2 + 6x = 4 + 5(-6 + 7x) 2 + 6x = 4 + (-6 * 5 + 7x * 5) 2 + 6x = 4 + (-30 + 35x) Combine like terms: 4 + -30 = -26 2 + 6x = -26 + 35x Solving 2 + 6x = -26 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 2 + 6x + -35x = -26 + 35x + -35x Combine like terms: 6x + -35x = -29x 2 + -29x = -26 + 35x + -35x Combine like terms: 35x + -35x = 0 2 + -29x = -26 + 0 2 + -29x = -26 Add '-2' to each side of the equation. 2 + -2 + -29x = -26 + -2 Combine like terms: 2 + -2 = 0 0 + -29x = -26 + -2 -29x = -26 + -2 Combine like terms: -26 + -2 = -28 -29x = -28 Divide each side by '-29'. x = 0.9655172414 Simplifying x = 0.9655172414
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