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Simplifying 0.65x + 5 = 0.5x + 3 Reorder the terms: 5 + 0.65x = 0.5x + 3 Reorder the terms: 5 + 0.65x = 3 + 0.5x Solving 5 + 0.65x = 3 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 5 + 0.65x + -0.5x = 3 + 0.5x + -0.5x Combine like terms: 0.65x + -0.5x = 0.15x 5 + 0.15x = 3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 0.15x = 3 + 0.0 5 + 0.15x = 3 Add '-5' to each side of the equation. 5 + -5 + 0.15x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 0.15x = 3 + -5 0.15x = 3 + -5 Combine like terms: 3 + -5 = -2 0.15x = -2 Divide each side by '0.15'. x = -13.33333333 Simplifying x = -13.33333333
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