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Simplifying 4(4x + -5) = 5(3x + 5) Reorder the terms: 4(-5 + 4x) = 5(3x + 5) (-5 * 4 + 4x * 4) = 5(3x + 5) (-20 + 16x) = 5(3x + 5) Reorder the terms: -20 + 16x = 5(5 + 3x) -20 + 16x = (5 * 5 + 3x * 5) -20 + 16x = (25 + 15x) Solving -20 + 16x = 25 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -20 + 16x + -15x = 25 + 15x + -15x Combine like terms: 16x + -15x = 1x -20 + 1x = 25 + 15x + -15x Combine like terms: 15x + -15x = 0 -20 + 1x = 25 + 0 -20 + 1x = 25 Add '20' to each side of the equation. -20 + 20 + 1x = 25 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 25 + 20 1x = 25 + 20 Combine like terms: 25 + 20 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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