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Simplifying 3(9x + -6) = 8(7x + 16) Reorder the terms: 3(-6 + 9x) = 8(7x + 16) (-6 * 3 + 9x * 3) = 8(7x + 16) (-18 + 27x) = 8(7x + 16) Reorder the terms: -18 + 27x = 8(16 + 7x) -18 + 27x = (16 * 8 + 7x * 8) -18 + 27x = (128 + 56x) Solving -18 + 27x = 128 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -18 + 27x + -56x = 128 + 56x + -56x Combine like terms: 27x + -56x = -29x -18 + -29x = 128 + 56x + -56x Combine like terms: 56x + -56x = 0 -18 + -29x = 128 + 0 -18 + -29x = 128 Add '18' to each side of the equation. -18 + 18 + -29x = 128 + 18 Combine like terms: -18 + 18 = 0 0 + -29x = 128 + 18 -29x = 128 + 18 Combine like terms: 128 + 18 = 146 -29x = 146 Divide each side by '-29'. x = -5.034482759 Simplifying x = -5.034482759
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