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Simplifying 0.3x + 5 = 0.67x + -8 Reorder the terms: 5 + 0.3x = 0.67x + -8 Reorder the terms: 5 + 0.3x = -8 + 0.67x Solving 5 + 0.3x = -8 + 0.67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.67x' to each side of the equation. 5 + 0.3x + -0.67x = -8 + 0.67x + -0.67x Combine like terms: 0.3x + -0.67x = -0.37x 5 + -0.37x = -8 + 0.67x + -0.67x Combine like terms: 0.67x + -0.67x = 0.00 5 + -0.37x = -8 + 0.00 5 + -0.37x = -8 Add '-5' to each side of the equation. 5 + -5 + -0.37x = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -0.37x = -8 + -5 -0.37x = -8 + -5 Combine like terms: -8 + -5 = -13 -0.37x = -13 Divide each side by '-0.37'. x = 35.13513514 Simplifying x = 35.13513514
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