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Simplifying 9(3 + -2x) = 3(10 + -8x) (3 * 9 + -2x * 9) = 3(10 + -8x) (27 + -18x) = 3(10 + -8x) 27 + -18x = (10 * 3 + -8x * 3) 27 + -18x = (30 + -24x) Solving 27 + -18x = 30 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 27 + -18x + 24x = 30 + -24x + 24x Combine like terms: -18x + 24x = 6x 27 + 6x = 30 + -24x + 24x Combine like terms: -24x + 24x = 0 27 + 6x = 30 + 0 27 + 6x = 30 Add '-27' to each side of the equation. 27 + -27 + 6x = 30 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 30 + -27 6x = 30 + -27 Combine like terms: 30 + -27 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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