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Simplifying 0.5x + 0.4 = 0.08x + -0.5 Reorder the terms: 0.4 + 0.5x = 0.08x + -0.5 Reorder the terms: 0.4 + 0.5x = -0.5 + 0.08x Solving 0.4 + 0.5x = -0.5 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 0.4 + 0.5x + -0.08x = -0.5 + 0.08x + -0.08x Combine like terms: 0.5x + -0.08x = 0.42x 0.4 + 0.42x = -0.5 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.4 + 0.42x = -0.5 + 0.00 0.4 + 0.42x = -0.5 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.42x = -0.5 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.42x = -0.5 + -0.4 0.42x = -0.5 + -0.4 Combine like terms: -0.5 + -0.4 = -0.9 0.42x = -0.9 Divide each side by '0.42'. x = -2.142857143 Simplifying x = -2.142857143
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