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Simplifying 10x + 10(x + -1) + 5(x + -1) = 160 Reorder the terms: 10x + 10(-1 + x) + 5(x + -1) = 160 10x + (-1 * 10 + x * 10) + 5(x + -1) = 160 10x + (-10 + 10x) + 5(x + -1) = 160 Reorder the terms: 10x + -10 + 10x + 5(-1 + x) = 160 10x + -10 + 10x + (-1 * 5 + x * 5) = 160 10x + -10 + 10x + (-5 + 5x) = 160 Reorder the terms: -10 + -5 + 10x + 10x + 5x = 160 Combine like terms: -10 + -5 = -15 -15 + 10x + 10x + 5x = 160 Combine like terms: 10x + 10x = 20x -15 + 20x + 5x = 160 Combine like terms: 20x + 5x = 25x -15 + 25x = 160 Solving -15 + 25x = 160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 25x = 160 + 15 Combine like terms: -15 + 15 = 0 0 + 25x = 160 + 15 25x = 160 + 15 Combine like terms: 160 + 15 = 175 25x = 175 Divide each side by '25'. x = 7 Simplifying x = 7
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