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Simplifying 0.13x + -0.5 = 0.10 + 0.9x Reorder the terms: -0.5 + 0.13x = 0.10 + 0.9x Solving -0.5 + 0.13x = 0.10 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. -0.5 + 0.13x + -0.9x = 0.10 + 0.9x + -0.9x Combine like terms: 0.13x + -0.9x = -0.77x -0.5 + -0.77x = 0.10 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -0.5 + -0.77x = 0.10 + 0.0 -0.5 + -0.77x = 0.10 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.77x = 0.10 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.77x = 0.10 + 0.5 -0.77x = 0.10 + 0.5 Combine like terms: 0.10 + 0.5 = 0.6 -0.77x = 0.6 Divide each side by '-0.77'. x = -0.7792207792 Simplifying x = -0.7792207792
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