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Simplifying 5x + 2(11 + -4x) = 13(3x + -2) 5x + (11 * 2 + -4x * 2) = 13(3x + -2) 5x + (22 + -8x) = 13(3x + -2) Reorder the terms: 22 + 5x + -8x = 13(3x + -2) Combine like terms: 5x + -8x = -3x 22 + -3x = 13(3x + -2) Reorder the terms: 22 + -3x = 13(-2 + 3x) 22 + -3x = (-2 * 13 + 3x * 13) 22 + -3x = (-26 + 39x) Solving 22 + -3x = -26 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 22 + -3x + -39x = -26 + 39x + -39x Combine like terms: -3x + -39x = -42x 22 + -42x = -26 + 39x + -39x Combine like terms: 39x + -39x = 0 22 + -42x = -26 + 0 22 + -42x = -26 Add '-22' to each side of the equation. 22 + -22 + -42x = -26 + -22 Combine like terms: 22 + -22 = 0 0 + -42x = -26 + -22 -42x = -26 + -22 Combine like terms: -26 + -22 = -48 -42x = -48 Divide each side by '-42'. x = 1.142857143 Simplifying x = 1.142857143
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