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Simplifying 5(x + 5) = 5(4x + 3) Reorder the terms: 5(5 + x) = 5(4x + 3) (5 * 5 + x * 5) = 5(4x + 3) (25 + 5x) = 5(4x + 3) Reorder the terms: 25 + 5x = 5(3 + 4x) 25 + 5x = (3 * 5 + 4x * 5) 25 + 5x = (15 + 20x) Solving 25 + 5x = 15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 25 + 5x + -20x = 15 + 20x + -20x Combine like terms: 5x + -20x = -15x 25 + -15x = 15 + 20x + -20x Combine like terms: 20x + -20x = 0 25 + -15x = 15 + 0 25 + -15x = 15 Add '-25' to each side of the equation. 25 + -25 + -15x = 15 + -25 Combine like terms: 25 + -25 = 0 0 + -15x = 15 + -25 -15x = 15 + -25 Combine like terms: 15 + -25 = -10 -15x = -10 Divide each side by '-15'. x = 0.6666666667 Simplifying x = 0.6666666667
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