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Simplifying 24x + -1 = 180 + -1(20x + 5) Reorder the terms: -1 + 24x = 180 + -1(20x + 5) Reorder the terms: -1 + 24x = 180 + -1(5 + 20x) -1 + 24x = 180 + (5 * -1 + 20x * -1) -1 + 24x = 180 + (-5 + -20x) Combine like terms: 180 + -5 = 175 -1 + 24x = 175 + -20x Solving -1 + 24x = 175 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -1 + 24x + 20x = 175 + -20x + 20x Combine like terms: 24x + 20x = 44x -1 + 44x = 175 + -20x + 20x Combine like terms: -20x + 20x = 0 -1 + 44x = 175 + 0 -1 + 44x = 175 Add '1' to each side of the equation. -1 + 1 + 44x = 175 + 1 Combine like terms: -1 + 1 = 0 0 + 44x = 175 + 1 44x = 175 + 1 Combine like terms: 175 + 1 = 176 44x = 176 Divide each side by '44'. x = 4 Simplifying x = 4
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