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Simplifying 5(3x + 1) = 10(x + 5) Reorder the terms: 5(1 + 3x) = 10(x + 5) (1 * 5 + 3x * 5) = 10(x + 5) (5 + 15x) = 10(x + 5) Reorder the terms: 5 + 15x = 10(5 + x) 5 + 15x = (5 * 10 + x * 10) 5 + 15x = (50 + 10x) Solving 5 + 15x = 50 + 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. 5 + 15x + -10x = 50 + 10x + -10x Combine like terms: 15x + -10x = 5x 5 + 5x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 5x = 50 + 0 5 + 5x = 50 Add '-5' to each side of the equation. 5 + -5 + 5x = 50 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 50 + -5 5x = 50 + -5 Combine like terms: 50 + -5 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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