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Simplifying 3 + -2(3x + 1) = x + -5(5 + -7x) Reorder the terms: 3 + -2(1 + 3x) = x + -5(5 + -7x) 3 + (1 * -2 + 3x * -2) = x + -5(5 + -7x) 3 + (-2 + -6x) = x + -5(5 + -7x) Combine like terms: 3 + -2 = 1 1 + -6x = x + -5(5 + -7x) 1 + -6x = x + (5 * -5 + -7x * -5) 1 + -6x = x + (-25 + 35x) Reorder the terms: 1 + -6x = -25 + x + 35x Combine like terms: x + 35x = 36x 1 + -6x = -25 + 36x Solving 1 + -6x = -25 + 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. 1 + -6x + -36x = -25 + 36x + -36x Combine like terms: -6x + -36x = -42x 1 + -42x = -25 + 36x + -36x Combine like terms: 36x + -36x = 0 1 + -42x = -25 + 0 1 + -42x = -25 Add '-1' to each side of the equation. 1 + -1 + -42x = -25 + -1 Combine like terms: 1 + -1 = 0 0 + -42x = -25 + -1 -42x = -25 + -1 Combine like terms: -25 + -1 = -26 -42x = -26 Divide each side by '-42'. x = 0.619047619 Simplifying x = 0.619047619
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