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Simplifying 0.5x + 11.4 = 0.6x + 9.9 Reorder the terms: 11.4 + 0.5x = 0.6x + 9.9 Reorder the terms: 11.4 + 0.5x = 9.9 + 0.6x Solving 11.4 + 0.5x = 9.9 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 11.4 + 0.5x + -0.6x = 9.9 + 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x 11.4 + -0.1x = 9.9 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 11.4 + -0.1x = 9.9 + 0.0 11.4 + -0.1x = 9.9 Add '-11.4' to each side of the equation. 11.4 + -11.4 + -0.1x = 9.9 + -11.4 Combine like terms: 11.4 + -11.4 = 0.0 0.0 + -0.1x = 9.9 + -11.4 -0.1x = 9.9 + -11.4 Combine like terms: 9.9 + -11.4 = -1.5 -0.1x = -1.5 Divide each side by '-0.1'. x = 15 Simplifying x = 15
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