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Simplifying 2(4x + -1) = 3(x + 2) Reorder the terms: 2(-1 + 4x) = 3(x + 2) (-1 * 2 + 4x * 2) = 3(x + 2) (-2 + 8x) = 3(x + 2) Reorder the terms: -2 + 8x = 3(2 + x) -2 + 8x = (2 * 3 + x * 3) -2 + 8x = (6 + 3x) Solving -2 + 8x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 8x + -3x = 6 + 3x + -3x Combine like terms: 8x + -3x = 5x -2 + 5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 5x = 6 + 0 -2 + 5x = 6 Add '2' to each side of the equation. -2 + 2 + 5x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 6 + 2 5x = 6 + 2 Combine like terms: 6 + 2 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6
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