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Simplifying 4(4x + -5) = 2(-2x + 5) Reorder the terms: 4(-5 + 4x) = 2(-2x + 5) (-5 * 4 + 4x * 4) = 2(-2x + 5) (-20 + 16x) = 2(-2x + 5) Reorder the terms: -20 + 16x = 2(5 + -2x) -20 + 16x = (5 * 2 + -2x * 2) -20 + 16x = (10 + -4x) Solving -20 + 16x = 10 + -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. -20 + 16x + 4x = 10 + -4x + 4x Combine like terms: 16x + 4x = 20x -20 + 20x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 20x = 10 + 0 -20 + 20x = 10 Add '20' to each side of the equation. -20 + 20 + 20x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 20x = 10 + 20 20x = 10 + 20 Combine like terms: 10 + 20 = 30 20x = 30 Divide each side by '20'. x = 1.5 Simplifying x = 1.5
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