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Simplifying 9(3x + -2) = 8(x + 4) + -19 Reorder the terms: 9(-2 + 3x) = 8(x + 4) + -19 (-2 * 9 + 3x * 9) = 8(x + 4) + -19 (-18 + 27x) = 8(x + 4) + -19 Reorder the terms: -18 + 27x = 8(4 + x) + -19 -18 + 27x = (4 * 8 + x * 8) + -19 -18 + 27x = (32 + 8x) + -19 Reorder the terms: -18 + 27x = 32 + -19 + 8x Combine like terms: 32 + -19 = 13 -18 + 27x = 13 + 8x Solving -18 + 27x = 13 + 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. -18 + 27x + -8x = 13 + 8x + -8x Combine like terms: 27x + -8x = 19x -18 + 19x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 19x = 13 + 0 -18 + 19x = 13 Add '18' to each side of the equation. -18 + 18 + 19x = 13 + 18 Combine like terms: -18 + 18 = 0 0 + 19x = 13 + 18 19x = 13 + 18 Combine like terms: 13 + 18 = 31 19x = 31 Divide each side by '19'. x = 1.631578947 Simplifying x = 1.631578947
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