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Simplifying 5(16x + -20) = 4(25x + -20) Reorder the terms: 5(-20 + 16x) = 4(25x + -20) (-20 * 5 + 16x * 5) = 4(25x + -20) (-100 + 80x) = 4(25x + -20) Reorder the terms: -100 + 80x = 4(-20 + 25x) -100 + 80x = (-20 * 4 + 25x * 4) -100 + 80x = (-80 + 100x) Solving -100 + 80x = -80 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -100 + 80x + -100x = -80 + 100x + -100x Combine like terms: 80x + -100x = -20x -100 + -20x = -80 + 100x + -100x Combine like terms: 100x + -100x = 0 -100 + -20x = -80 + 0 -100 + -20x = -80 Add '100' to each side of the equation. -100 + 100 + -20x = -80 + 100 Combine like terms: -100 + 100 = 0 0 + -20x = -80 + 100 -20x = -80 + 100 Combine like terms: -80 + 100 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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