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Simplifying 10x + -15 = 5(x + 81) Reorder the terms: -15 + 10x = 5(x + 81) Reorder the terms: -15 + 10x = 5(81 + x) -15 + 10x = (81 * 5 + x * 5) -15 + 10x = (405 + 5x) Solving -15 + 10x = 405 + 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. -15 + 10x + -5x = 405 + 5x + -5x Combine like terms: 10x + -5x = 5x -15 + 5x = 405 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 5x = 405 + 0 -15 + 5x = 405 Add '15' to each side of the equation. -15 + 15 + 5x = 405 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 405 + 15 5x = 405 + 15 Combine like terms: 405 + 15 = 420 5x = 420 Divide each side by '5'. x = 84 Simplifying x = 84
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