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Simplifying 10 + -1(20x + -500) = 50x + -90 + 20 Reorder the terms: 10 + -1(-500 + 20x) = 50x + -90 + 20 10 + (-500 * -1 + 20x * -1) = 50x + -90 + 20 10 + (500 + -20x) = 50x + -90 + 20 Combine like terms: 10 + 500 = 510 510 + -20x = 50x + -90 + 20 Reorder the terms: 510 + -20x = -90 + 20 + 50x Combine like terms: -90 + 20 = -70 510 + -20x = -70 + 50x Solving 510 + -20x = -70 + 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. 510 + -20x + -50x = -70 + 50x + -50x Combine like terms: -20x + -50x = -70x 510 + -70x = -70 + 50x + -50x Combine like terms: 50x + -50x = 0 510 + -70x = -70 + 0 510 + -70x = -70 Add '-510' to each side of the equation. 510 + -510 + -70x = -70 + -510 Combine like terms: 510 + -510 = 0 0 + -70x = -70 + -510 -70x = -70 + -510 Combine like terms: -70 + -510 = -580 -70x = -580 Divide each side by '-70'. x = 8.285714286 Simplifying x = 8.285714286
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