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Simplifying 0.4x + -11 = 0.5x + -12 Reorder the terms: -11 + 0.4x = 0.5x + -12 Reorder the terms: -11 + 0.4x = -12 + 0.5x Solving -11 + 0.4x = -12 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -11 + 0.4x + -0.5x = -12 + 0.5x + -0.5x Combine like terms: 0.4x + -0.5x = -0.1x -11 + -0.1x = -12 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -11 + -0.1x = -12 + 0.0 -11 + -0.1x = -12 Add '11' to each side of the equation. -11 + 11 + -0.1x = -12 + 11 Combine like terms: -11 + 11 = 0 0 + -0.1x = -12 + 11 -0.1x = -12 + 11 Combine like terms: -12 + 11 = -1 -0.1x = -1 Divide each side by '-0.1'. x = 10 Simplifying x = 10
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