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Simplifying 40(x + -20) = 10x + 40 Reorder the terms: 40(-20 + x) = 10x + 40 (-20 * 40 + x * 40) = 10x + 40 (-800 + 40x) = 10x + 40 Reorder the terms: -800 + 40x = 40 + 10x Solving -800 + 40x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -800 + 40x + -10x = 40 + 10x + -10x Combine like terms: 40x + -10x = 30x -800 + 30x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 -800 + 30x = 40 + 0 -800 + 30x = 40 Add '800' to each side of the equation. -800 + 800 + 30x = 40 + 800 Combine like terms: -800 + 800 = 0 0 + 30x = 40 + 800 30x = 40 + 800 Combine like terms: 40 + 800 = 840 30x = 840 Divide each side by '30'. x = 28 Simplifying x = 28
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