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Simplifying 2(4x + -1) + -3(x + -2) = 14 Reorder the terms: 2(-1 + 4x) + -3(x + -2) = 14 (-1 * 2 + 4x * 2) + -3(x + -2) = 14 (-2 + 8x) + -3(x + -2) = 14 Reorder the terms: -2 + 8x + -3(-2 + x) = 14 -2 + 8x + (-2 * -3 + x * -3) = 14 -2 + 8x + (6 + -3x) = 14 Reorder the terms: -2 + 6 + 8x + -3x = 14 Combine like terms: -2 + 6 = 4 4 + 8x + -3x = 14 Combine like terms: 8x + -3x = 5x 4 + 5x = 14 Solving 4 + 5x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 14 + -4 5x = 14 + -4 Combine like terms: 14 + -4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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