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Simplifying 5x + 2(11 + -4x) = 13(3c + -2) 5x + (11 * 2 + -4x * 2) = 13(3c + -2) 5x + (22 + -8x) = 13(3c + -2) Reorder the terms: 22 + 5x + -8x = 13(3c + -2) Combine like terms: 5x + -8x = -3x 22 + -3x = 13(3c + -2) Reorder the terms: 22 + -3x = 13(-2 + 3c) 22 + -3x = (-2 * 13 + 3c * 13) 22 + -3x = (-26 + 39c) Solving 22 + -3x = -26 + 39c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3x = -26 + -22 + 39c Combine like terms: 22 + -22 = 0 0 + -3x = -26 + -22 + 39c -3x = -26 + -22 + 39c Combine like terms: -26 + -22 = -48 -3x = -48 + 39c Divide each side by '-3'. x = 16 + -13c Simplifying x = 16 + -13c
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