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Simplifying 10(x + 40) = 30x Reorder the terms: 10(40 + x) = 30x (40 * 10 + x * 10) = 30x (400 + 10x) = 30x Solving 400 + 10x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 400 + 10x + -30x = 30x + -30x Combine like terms: 10x + -30x = -20x 400 + -20x = 30x + -30x Combine like terms: 30x + -30x = 0 400 + -20x = 0 Add '-400' to each side of the equation. 400 + -400 + -20x = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -20x = 0 + -400 -20x = 0 + -400 Combine like terms: 0 + -400 = -400 -20x = -400 Divide each side by '-20'. x = 20 Simplifying x = 20
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