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Simplifying 0.12x + 5 + -0.2x = 0.37x + -0.4 Reorder the terms: 5 + 0.12x + -0.2x = 0.37x + -0.4 Combine like terms: 0.12x + -0.2x = -0.08x 5 + -0.08x = 0.37x + -0.4 Reorder the terms: 5 + -0.08x = -0.4 + 0.37x Solving 5 + -0.08x = -0.4 + 0.37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.37x' to each side of the equation. 5 + -0.08x + -0.37x = -0.4 + 0.37x + -0.37x Combine like terms: -0.08x + -0.37x = -0.45x 5 + -0.45x = -0.4 + 0.37x + -0.37x Combine like terms: 0.37x + -0.37x = 0.00 5 + -0.45x = -0.4 + 0.00 5 + -0.45x = -0.4 Add '-5' to each side of the equation. 5 + -5 + -0.45x = -0.4 + -5 Combine like terms: 5 + -5 = 0 0 + -0.45x = -0.4 + -5 -0.45x = -0.4 + -5 Combine like terms: -0.4 + -5 = -5.4 -0.45x = -5.4 Divide each side by '-0.45'. x = 12 Simplifying x = 12
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