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Simplifying 10x = 40(x + 1) Reorder the terms: 10x = 40(1 + x) 10x = (1 * 40 + x * 40) 10x = (40 + 40x) Solving 10x = 40 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 10x + -40x = 40 + 40x + -40x Combine like terms: 10x + -40x = -30x -30x = 40 + 40x + -40x Combine like terms: 40x + -40x = 0 -30x = 40 + 0 -30x = 40 Divide each side by '-30'. x = -1.333333333 Simplifying x = -1.333333333
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