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Simplifying 10(x + -2) + 20(x + 3) = 250 Reorder the terms: 10(-2 + x) + 20(x + 3) = 250 (-2 * 10 + x * 10) + 20(x + 3) = 250 (-20 + 10x) + 20(x + 3) = 250 Reorder the terms: -20 + 10x + 20(3 + x) = 250 -20 + 10x + (3 * 20 + x * 20) = 250 -20 + 10x + (60 + 20x) = 250 Reorder the terms: -20 + 60 + 10x + 20x = 250 Combine like terms: -20 + 60 = 40 40 + 10x + 20x = 250 Combine like terms: 10x + 20x = 30x 40 + 30x = 250 Solving 40 + 30x = 250 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 30x = 250 + -40 Combine like terms: 40 + -40 = 0 0 + 30x = 250 + -40 30x = 250 + -40 Combine like terms: 250 + -40 = 210 30x = 210 Divide each side by '30'. x = 7 Simplifying x = 7
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