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Simplifying 5(3x + 5) = 2(5x + 1) Reorder the terms: 5(5 + 3x) = 2(5x + 1) (5 * 5 + 3x * 5) = 2(5x + 1) (25 + 15x) = 2(5x + 1) Reorder the terms: 25 + 15x = 2(1 + 5x) 25 + 15x = (1 * 2 + 5x * 2) 25 + 15x = (2 + 10x) Solving 25 + 15x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 25 + 15x + -10x = 2 + 10x + -10x Combine like terms: 15x + -10x = 5x 25 + 5x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 25 + 5x = 2 + 0 25 + 5x = 2 Add '-25' to each side of the equation. 25 + -25 + 5x = 2 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = 2 + -25 5x = 2 + -25 Combine like terms: 2 + -25 = -23 5x = -23 Divide each side by '5'. x = -4.6 Simplifying x = -4.6
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