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Simplifying 3(4x + -2) = 21 + 5x Reorder the terms: 3(-2 + 4x) = 21 + 5x (-2 * 3 + 4x * 3) = 21 + 5x (-6 + 12x) = 21 + 5x Solving -6 + 12x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 12x + -5x = 21 + 5x + -5x Combine like terms: 12x + -5x = 7x -6 + 7x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 7x = 21 + 0 -6 + 7x = 21 Add '6' to each side of the equation. -6 + 6 + 7x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 21 + 6 7x = 21 + 6 Combine like terms: 21 + 6 = 27 7x = 27 Divide each side by '7'. x = 3.857142857 Simplifying x = 3.857142857
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