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Simplifying 0.5x + 3 = 0.12x + -2 Reorder the terms: 3 + 0.5x = 0.12x + -2 Reorder the terms: 3 + 0.5x = -2 + 0.12x Solving 3 + 0.5x = -2 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 3 + 0.5x + -0.12x = -2 + 0.12x + -0.12x Combine like terms: 0.5x + -0.12x = 0.38x 3 + 0.38x = -2 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 3 + 0.38x = -2 + 0.00 3 + 0.38x = -2 Add '-3' to each side of the equation. 3 + -3 + 0.38x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 0.38x = -2 + -3 0.38x = -2 + -3 Combine like terms: -2 + -3 = -5 0.38x = -5 Divide each side by '0.38'. x = -13.15789474 Simplifying x = -13.15789474
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