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Simplifying 3(4x + -2) = 2(4x + 5) Reorder the terms: 3(-2 + 4x) = 2(4x + 5) (-2 * 3 + 4x * 3) = 2(4x + 5) (-6 + 12x) = 2(4x + 5) Reorder the terms: -6 + 12x = 2(5 + 4x) -6 + 12x = (5 * 2 + 4x * 2) -6 + 12x = (10 + 8x) Solving -6 + 12x = 10 + 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. -6 + 12x + -8x = 10 + 8x + -8x Combine like terms: 12x + -8x = 4x -6 + 4x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 4x = 10 + 0 -6 + 4x = 10 Add '6' to each side of the equation. -6 + 6 + 4x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 10 + 6 4x = 10 + 6 Combine like terms: 10 + 6 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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