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Simplifying 9(3 + -2x) = 4(10 + -8x) (3 * 9 + -2x * 9) = 4(10 + -8x) (27 + -18x) = 4(10 + -8x) 27 + -18x = (10 * 4 + -8x * 4) 27 + -18x = (40 + -32x) Solving 27 + -18x = 40 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 27 + -18x + 32x = 40 + -32x + 32x Combine like terms: -18x + 32x = 14x 27 + 14x = 40 + -32x + 32x Combine like terms: -32x + 32x = 0 27 + 14x = 40 + 0 27 + 14x = 40 Add '-27' to each side of the equation. 27 + -27 + 14x = 40 + -27 Combine like terms: 27 + -27 = 0 0 + 14x = 40 + -27 14x = 40 + -27 Combine like terms: 40 + -27 = 13 14x = 13 Divide each side by '14'. x = 0.9285714286 Simplifying x = 0.9285714286
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