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Simplifying 7x = 12(6x + -1(5x + (4x + -1))) + 5 Reorder the terms: 7x = 12(6x + -1(5x + (-1 + 4x))) + 5 Remove parenthesis around (-1 + 4x) 7x = 12(6x + -1(5x + -1 + 4x)) + 5 Reorder the terms: 7x = 12(6x + -1(-1 + 5x + 4x)) + 5 Combine like terms: 5x + 4x = 9x 7x = 12(6x + -1(-1 + 9x)) + 5 7x = 12(6x + (-1 * -1 + 9x * -1)) + 5 7x = 12(6x + (1 + -9x)) + 5 Reorder the terms: 7x = 12(1 + 6x + -9x) + 5 Combine like terms: 6x + -9x = -3x 7x = 12(1 + -3x) + 5 7x = (1 * 12 + -3x * 12) + 5 7x = (12 + -36x) + 5 Reorder the terms: 7x = 12 + 5 + -36x Combine like terms: 12 + 5 = 17 7x = 17 + -36x Solving 7x = 17 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 7x + 36x = 17 + -36x + 36x Combine like terms: 7x + 36x = 43x 43x = 17 + -36x + 36x Combine like terms: -36x + 36x = 0 43x = 17 + 0 43x = 17 Divide each side by '43'. x = 0.3953488372 Simplifying x = 0.3953488372
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