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Simplifying 3(4x + 5) + -5(7x + -7) = 2(6x + 1) Reorder the terms: 3(5 + 4x) + -5(7x + -7) = 2(6x + 1) (5 * 3 + 4x * 3) + -5(7x + -7) = 2(6x + 1) (15 + 12x) + -5(7x + -7) = 2(6x + 1) Reorder the terms: 15 + 12x + -5(-7 + 7x) = 2(6x + 1) 15 + 12x + (-7 * -5 + 7x * -5) = 2(6x + 1) 15 + 12x + (35 + -35x) = 2(6x + 1) Reorder the terms: 15 + 35 + 12x + -35x = 2(6x + 1) Combine like terms: 15 + 35 = 50 50 + 12x + -35x = 2(6x + 1) Combine like terms: 12x + -35x = -23x 50 + -23x = 2(6x + 1) Reorder the terms: 50 + -23x = 2(1 + 6x) 50 + -23x = (1 * 2 + 6x * 2) 50 + -23x = (2 + 12x) Solving 50 + -23x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 50 + -23x + -12x = 2 + 12x + -12x Combine like terms: -23x + -12x = -35x 50 + -35x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 50 + -35x = 2 + 0 50 + -35x = 2 Add '-50' to each side of the equation. 50 + -50 + -35x = 2 + -50 Combine like terms: 50 + -50 = 0 0 + -35x = 2 + -50 -35x = 2 + -50 Combine like terms: 2 + -50 = -48 -35x = -48 Divide each side by '-35'. x = 1.371428571 Simplifying x = 1.371428571
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