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Simplifying 0.59x + 40 = 1.09x Reorder the terms: 40 + 0.59x = 1.09x Solving 40 + 0.59x = 1.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.09x' to each side of the equation. 40 + 0.59x + -1.09x = 1.09x + -1.09x Combine like terms: 0.59x + -1.09x = -0.5x 40 + -0.5x = 1.09x + -1.09x Combine like terms: 1.09x + -1.09x = 0.00 40 + -0.5x = 0.00 Add '-40' to each side of the equation. 40 + -40 + -0.5x = 0.00 + -40 Combine like terms: 40 + -40 = 0 0 + -0.5x = 0.00 + -40 -0.5x = 0.00 + -40 Combine like terms: 0.00 + -40 = -40 -0.5x = -40 Divide each side by '-0.5'. x = 80 Simplifying x = 80
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