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Simplifying 10(20 + -1x) = 8(2x + -1) (20 * 10 + -1x * 10) = 8(2x + -1) (200 + -10x) = 8(2x + -1) Reorder the terms: 200 + -10x = 8(-1 + 2x) 200 + -10x = (-1 * 8 + 2x * 8) 200 + -10x = (-8 + 16x) Solving 200 + -10x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 200 + -10x + -16x = -8 + 16x + -16x Combine like terms: -10x + -16x = -26x 200 + -26x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 200 + -26x = -8 + 0 200 + -26x = -8 Add '-200' to each side of the equation. 200 + -200 + -26x = -8 + -200 Combine like terms: 200 + -200 = 0 0 + -26x = -8 + -200 -26x = -8 + -200 Combine like terms: -8 + -200 = -208 -26x = -208 Divide each side by '-26'. x = 8 Simplifying x = 8
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