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Simplifying 11x + -40 = 5x + 38 Reorder the terms: -40 + 11x = 5x + 38 Reorder the terms: -40 + 11x = 38 + 5x Solving -40 + 11x = 38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -40 + 11x + -5x = 38 + 5x + -5x Combine like terms: 11x + -5x = 6x -40 + 6x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 6x = 38 + 0 -40 + 6x = 38 Add '40' to each side of the equation. -40 + 40 + 6x = 38 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 38 + 40 6x = 38 + 40 Combine like terms: 38 + 40 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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