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Simplifying 10(x + 5) = 5(x + 19) Reorder the terms: 10(5 + x) = 5(x + 19) (5 * 10 + x * 10) = 5(x + 19) (50 + 10x) = 5(x + 19) Reorder the terms: 50 + 10x = 5(19 + x) 50 + 10x = (19 * 5 + x * 5) 50 + 10x = (95 + 5x) Solving 50 + 10x = 95 + 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. 50 + 10x + -5x = 95 + 5x + -5x Combine like terms: 10x + -5x = 5x 50 + 5x = 95 + 5x + -5x Combine like terms: 5x + -5x = 0 50 + 5x = 95 + 0 50 + 5x = 95 Add '-50' to each side of the equation. 50 + -50 + 5x = 95 + -50 Combine like terms: 50 + -50 = 0 0 + 5x = 95 + -50 5x = 95 + -50 Combine like terms: 95 + -50 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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