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Simplifying 2x + -1(3 + 4x) + 13 = 36x + -5 + 7(2x + 1) 2x + (3 * -1 + 4x * -1) + 13 = 36x + -5 + 7(2x + 1) 2x + (-3 + -4x) + 13 = 36x + -5 + 7(2x + 1) Reorder the terms: -3 + 13 + 2x + -4x = 36x + -5 + 7(2x + 1) Combine like terms: -3 + 13 = 10 10 + 2x + -4x = 36x + -5 + 7(2x + 1) Combine like terms: 2x + -4x = -2x 10 + -2x = 36x + -5 + 7(2x + 1) Reorder the terms: 10 + -2x = 36x + -5 + 7(1 + 2x) 10 + -2x = 36x + -5 + (1 * 7 + 2x * 7) 10 + -2x = 36x + -5 + (7 + 14x) Reorder the terms: 10 + -2x = -5 + 7 + 36x + 14x Combine like terms: -5 + 7 = 2 10 + -2x = 2 + 36x + 14x Combine like terms: 36x + 14x = 50x 10 + -2x = 2 + 50x Solving 10 + -2x = 2 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 10 + -2x + -50x = 2 + 50x + -50x Combine like terms: -2x + -50x = -52x 10 + -52x = 2 + 50x + -50x Combine like terms: 50x + -50x = 0 10 + -52x = 2 + 0 10 + -52x = 2 Add '-10' to each side of the equation. 10 + -10 + -52x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -52x = 2 + -10 -52x = 2 + -10 Combine like terms: 2 + -10 = -8 -52x = -8 Divide each side by '-52'. x = 0.1538461538 Simplifying x = 0.1538461538
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