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Simplifying 30x + 10(x + -10) = 12.75 Reorder the terms: 30x + 10(-10 + x) = 12.75 30x + (-10 * 10 + x * 10) = 12.75 30x + (-100 + 10x) = 12.75 Reorder the terms: -100 + 30x + 10x = 12.75 Combine like terms: 30x + 10x = 40x -100 + 40x = 12.75 Solving -100 + 40x = 12.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 40x = 12.75 + 100 Combine like terms: -100 + 100 = 0 0 + 40x = 12.75 + 100 40x = 12.75 + 100 Combine like terms: 12.75 + 100 = 112.75 40x = 112.75 Divide each side by '40'. x = 2.81875 Simplifying x = 2.81875
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