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Simplifying 9(3x + -2) = 4(x + 4) + 8 Reorder the terms: 9(-2 + 3x) = 4(x + 4) + 8 (-2 * 9 + 3x * 9) = 4(x + 4) + 8 (-18 + 27x) = 4(x + 4) + 8 Reorder the terms: -18 + 27x = 4(4 + x) + 8 -18 + 27x = (4 * 4 + x * 4) + 8 -18 + 27x = (16 + 4x) + 8 Reorder the terms: -18 + 27x = 16 + 8 + 4x Combine like terms: 16 + 8 = 24 -18 + 27x = 24 + 4x Solving -18 + 27x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 27x + -4x = 24 + 4x + -4x Combine like terms: 27x + -4x = 23x -18 + 23x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 23x = 24 + 0 -18 + 23x = 24 Add '18' to each side of the equation. -18 + 18 + 23x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 23x = 24 + 18 23x = 24 + 18 Combine like terms: 24 + 18 = 42 23x = 42 Divide each side by '23'. x = 1.826086957 Simplifying x = 1.826086957
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