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Simplifying 2(4x + -5) = 5x + 14 Reorder the terms: 2(-5 + 4x) = 5x + 14 (-5 * 2 + 4x * 2) = 5x + 14 (-10 + 8x) = 5x + 14 Reorder the terms: -10 + 8x = 14 + 5x Solving -10 + 8x = 14 + 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. -10 + 8x + -5x = 14 + 5x + -5x Combine like terms: 8x + -5x = 3x -10 + 3x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 3x = 14 + 0 -10 + 3x = 14 Add '10' to each side of the equation. -10 + 10 + 3x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 14 + 10 3x = 14 + 10 Combine like terms: 14 + 10 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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