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Simplifying 5(4x + 5) = 6(x + 4) + 11 Reorder the terms: 5(5 + 4x) = 6(x + 4) + 11 (5 * 5 + 4x * 5) = 6(x + 4) + 11 (25 + 20x) = 6(x + 4) + 11 Reorder the terms: 25 + 20x = 6(4 + x) + 11 25 + 20x = (4 * 6 + x * 6) + 11 25 + 20x = (24 + 6x) + 11 Reorder the terms: 25 + 20x = 24 + 11 + 6x Combine like terms: 24 + 11 = 35 25 + 20x = 35 + 6x Solving 25 + 20x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25 + 20x + -6x = 35 + 6x + -6x Combine like terms: 20x + -6x = 14x 25 + 14x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + 14x = 35 + 0 25 + 14x = 35 Add '-25' to each side of the equation. 25 + -25 + 14x = 35 + -25 Combine like terms: 25 + -25 = 0 0 + 14x = 35 + -25 14x = 35 + -25 Combine like terms: 35 + -25 = 10 14x = 10 Divide each side by '14'. x = 0.7142857143 Simplifying x = 0.7142857143
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