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Simplifying 0.15x + 26.50 = 0.25x + 14.5 Reorder the terms: 26.50 + 0.15x = 0.25x + 14.5 Reorder the terms: 26.50 + 0.15x = 14.5 + 0.25x Solving 26.50 + 0.15x = 14.5 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 26.50 + 0.15x + -0.25x = 14.5 + 0.25x + -0.25x Combine like terms: 0.15x + -0.25x = -0.1x 26.50 + -0.1x = 14.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 26.50 + -0.1x = 14.5 + 0.00 26.50 + -0.1x = 14.5 Add '-26.50' to each side of the equation. 26.50 + -26.50 + -0.1x = 14.5 + -26.50 Combine like terms: 26.50 + -26.50 = 0.00 0.00 + -0.1x = 14.5 + -26.50 -0.1x = 14.5 + -26.50 Combine like terms: 14.5 + -26.50 = -12 -0.1x = -12 Divide each side by '-0.1'. x = 120 Simplifying x = 120
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