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Simplifying 0.4x + -9 = -0.1x + -14 Reorder the terms: -9 + 0.4x = -0.1x + -14 Reorder the terms: -9 + 0.4x = -14 + -0.1x Solving -9 + 0.4x = -14 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -9 + 0.4x + 0.1x = -14 + -0.1x + 0.1x Combine like terms: 0.4x + 0.1x = 0.5x -9 + 0.5x = -14 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -9 + 0.5x = -14 + 0.0 -9 + 0.5x = -14 Add '9' to each side of the equation. -9 + 9 + 0.5x = -14 + 9 Combine like terms: -9 + 9 = 0 0 + 0.5x = -14 + 9 0.5x = -14 + 9 Combine like terms: -14 + 9 = -5 0.5x = -5 Divide each side by '0.5'. x = -10 Simplifying x = -10
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