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Simplifying 1.5x + 40 = 44x + 460 Reorder the terms: 40 + 1.5x = 44x + 460 Reorder the terms: 40 + 1.5x = 460 + 44x Solving 40 + 1.5x = 460 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. 40 + 1.5x + -44x = 460 + 44x + -44x Combine like terms: 1.5x + -44x = -42.5x 40 + -42.5x = 460 + 44x + -44x Combine like terms: 44x + -44x = 0 40 + -42.5x = 460 + 0 40 + -42.5x = 460 Add '-40' to each side of the equation. 40 + -40 + -42.5x = 460 + -40 Combine like terms: 40 + -40 = 0 0 + -42.5x = 460 + -40 -42.5x = 460 + -40 Combine like terms: 460 + -40 = 420 -42.5x = 420 Divide each side by '-42.5'. x = -9.882352941 Simplifying x = -9.882352941
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