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Simplifying 2(4x + -5) = 4x + 2 Reorder the terms: 2(-5 + 4x) = 4x + 2 (-5 * 2 + 4x * 2) = 4x + 2 (-10 + 8x) = 4x + 2 Reorder the terms: -10 + 8x = 2 + 4x Solving -10 + 8x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 8x + -4x = 2 + 4x + -4x Combine like terms: 8x + -4x = 4x -10 + 4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 4x = 2 + 0 -10 + 4x = 2 Add '10' to each side of the equation. -10 + 10 + 4x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 2 + 10 4x = 2 + 10 Combine like terms: 2 + 10 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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