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Simplifying 9(5 + -2x) = 2(10 + -8x) (5 * 9 + -2x * 9) = 2(10 + -8x) (45 + -18x) = 2(10 + -8x) 45 + -18x = (10 * 2 + -8x * 2) 45 + -18x = (20 + -16x) Solving 45 + -18x = 20 + -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. 45 + -18x + 16x = 20 + -16x + 16x Combine like terms: -18x + 16x = -2x 45 + -2x = 20 + -16x + 16x Combine like terms: -16x + 16x = 0 45 + -2x = 20 + 0 45 + -2x = 20 Add '-45' to each side of the equation. 45 + -45 + -2x = 20 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 20 + -45 -2x = 20 + -45 Combine like terms: 20 + -45 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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