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Simplifying 9(3 + -1x) = 2(10 + -4x) (3 * 9 + -1x * 9) = 2(10 + -4x) (27 + -9x) = 2(10 + -4x) 27 + -9x = (10 * 2 + -4x * 2) 27 + -9x = (20 + -8x) Solving 27 + -9x = 20 + -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 + -9x + 8x = 20 + -8x + 8x Combine like terms: -9x + 8x = -1x 27 + -1x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 27 + -1x = 20 + 0 27 + -1x = 20 Add '-27' to each side of the equation. 27 + -27 + -1x = 20 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 20 + -27 -1x = 20 + -27 Combine like terms: 20 + -27 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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