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Simplifying 0.67x + 4 = 6x + -5 Reorder the terms: 4 + 0.67x = 6x + -5 Reorder the terms: 4 + 0.67x = -5 + 6x Solving 4 + 0.67x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 0.67x + -6x = -5 + 6x + -6x Combine like terms: 0.67x + -6x = -5.33x 4 + -5.33x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -5.33x = -5 + 0 4 + -5.33x = -5 Add '-4' to each side of the equation. 4 + -4 + -5.33x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -5.33x = -5 + -4 -5.33x = -5 + -4 Combine like terms: -5 + -4 = -9 -5.33x = -9 Divide each side by '-5.33'. x = 1.688555347 Simplifying x = 1.688555347
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