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Simplifying 10(20 + -1x) + -12x = 100 (20 * 10 + -1x * 10) + -12x = 100 (200 + -10x) + -12x = 100 Combine like terms: -10x + -12x = -22x 200 + -22x = 100 Solving 200 + -22x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -22x = 100 + -200 Combine like terms: 200 + -200 = 0 0 + -22x = 100 + -200 -22x = 100 + -200 Combine like terms: 100 + -200 = -100 -22x = -100 Divide each side by '-22'. x = 4.545454545 Simplifying x = 4.545454545
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