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Simplifying 3(9x + -8) = 2(4x + 2) Reorder the terms: 3(-8 + 9x) = 2(4x + 2) (-8 * 3 + 9x * 3) = 2(4x + 2) (-24 + 27x) = 2(4x + 2) Reorder the terms: -24 + 27x = 2(2 + 4x) -24 + 27x = (2 * 2 + 4x * 2) -24 + 27x = (4 + 8x) Solving -24 + 27x = 4 + 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. -24 + 27x + -8x = 4 + 8x + -8x Combine like terms: 27x + -8x = 19x -24 + 19x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 19x = 4 + 0 -24 + 19x = 4 Add '24' to each side of the equation. -24 + 24 + 19x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 19x = 4 + 24 19x = 4 + 24 Combine like terms: 4 + 24 = 28 19x = 28 Divide each side by '19'. x = 1.473684211 Simplifying x = 1.473684211
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