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Simplifying 9(3 + -2x) = 22(10 + -8x) (3 * 9 + -2x * 9) = 22(10 + -8x) (27 + -18x) = 22(10 + -8x) 27 + -18x = (10 * 22 + -8x * 22) 27 + -18x = (220 + -176x) Solving 27 + -18x = 220 + -176x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '176x' to each side of the equation. 27 + -18x + 176x = 220 + -176x + 176x Combine like terms: -18x + 176x = 158x 27 + 158x = 220 + -176x + 176x Combine like terms: -176x + 176x = 0 27 + 158x = 220 + 0 27 + 158x = 220 Add '-27' to each side of the equation. 27 + -27 + 158x = 220 + -27 Combine like terms: 27 + -27 = 0 0 + 158x = 220 + -27 158x = 220 + -27 Combine like terms: 220 + -27 = 193 158x = 193 Divide each side by '158'. x = 1.221518987 Simplifying x = 1.221518987
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