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Simplifying 9(3 + -2x) = 1(10 + -8x) (3 * 9 + -2x * 9) = 1(10 + -8x) (27 + -18x) = 1(10 + -8x) 27 + -18x = (10 * 1 + -8x * 1) 27 + -18x = (10 + -8x) Solving 27 + -18x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 27 + -18x + 8x = 10 + -8x + 8x Combine like terms: -18x + 8x = -10x 27 + -10x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 27 + -10x = 10 + 0 27 + -10x = 10 Add '-27' to each side of the equation. 27 + -27 + -10x = 10 + -27 Combine like terms: 27 + -27 = 0 0 + -10x = 10 + -27 -10x = 10 + -27 Combine like terms: 10 + -27 = -17 -10x = -17 Divide each side by '-10'. x = 1.7 Simplifying x = 1.7
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