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Simplifying 13x + 3 = 4x + 38 Reorder the terms: 3 + 13x = 4x + 38 Reorder the terms: 3 + 13x = 38 + 4x Solving 3 + 13x = 38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 13x + -4x = 38 + 4x + -4x Combine like terms: 13x + -4x = 9x 3 + 9x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 9x = 38 + 0 3 + 9x = 38 Add '-3' to each side of the equation. 3 + -3 + 9x = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 38 + -3 9x = 38 + -3 Combine like terms: 38 + -3 = 35 9x = 35 Divide each side by '9'. x = 3.888888889 Simplifying x = 3.888888889
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