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Simplifying 0.59x + 45 = 1.09x Reorder the terms: 45 + 0.59x = 1.09x Solving 45 + 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. 45 + 0.59x + -1.09x = 1.09x + -1.09x Combine like terms: 0.59x + -1.09x = -0.5x 45 + -0.5x = 1.09x + -1.09x Combine like terms: 1.09x + -1.09x = 0.00 45 + -0.5x = 0.00 Add '-45' to each side of the equation. 45 + -45 + -0.5x = 0.00 + -45 Combine like terms: 45 + -45 = 0 0 + -0.5x = 0.00 + -45 -0.5x = 0.00 + -45 Combine like terms: 0.00 + -45 = -45 -0.5x = -45 Divide each side by '-0.5'. x = 90 Simplifying x = 90
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