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Simplifying 40(x + -20) + 20 = 50x Reorder the terms: 40(-20 + x) + 20 = 50x (-20 * 40 + x * 40) + 20 = 50x (-800 + 40x) + 20 = 50x Reorder the terms: -800 + 20 + 40x = 50x Combine like terms: -800 + 20 = -780 -780 + 40x = 50x Solving -780 + 40x = 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -780 + 40x + -50x = 50x + -50x Combine like terms: 40x + -50x = -10x -780 + -10x = 50x + -50x Combine like terms: 50x + -50x = 0 -780 + -10x = 0 Add '780' to each side of the equation. -780 + 780 + -10x = 0 + 780 Combine like terms: -780 + 780 = 0 0 + -10x = 0 + 780 -10x = 0 + 780 Combine like terms: 0 + 780 = 780 -10x = 780 Divide each side by '-10'. x = -78 Simplifying x = -78
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