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Simplifying 3(4x + -2) + -2(3x + 1) = 24 Reorder the terms: 3(-2 + 4x) + -2(3x + 1) = 24 (-2 * 3 + 4x * 3) + -2(3x + 1) = 24 (-6 + 12x) + -2(3x + 1) = 24 Reorder the terms: -6 + 12x + -2(1 + 3x) = 24 -6 + 12x + (1 * -2 + 3x * -2) = 24 -6 + 12x + (-2 + -6x) = 24 Reorder the terms: -6 + -2 + 12x + -6x = 24 Combine like terms: -6 + -2 = -8 -8 + 12x + -6x = 24 Combine like terms: 12x + -6x = 6x -8 + 6x = 24 Solving -8 + 6x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 24 + 8 6x = 24 + 8 Combine like terms: 24 + 8 = 32 6x = 32 Divide each side by '6'. x = 5.333333333 Simplifying x = 5.333333333
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