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Simplifying 0.66x + 5 = 0.75x + -6 Reorder the terms: 5 + 0.66x = 0.75x + -6 Reorder the terms: 5 + 0.66x = -6 + 0.75x Solving 5 + 0.66x = -6 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 5 + 0.66x + -0.75x = -6 + 0.75x + -0.75x Combine like terms: 0.66x + -0.75x = -0.09x 5 + -0.09x = -6 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 5 + -0.09x = -6 + 0.00 5 + -0.09x = -6 Add '-5' to each side of the equation. 5 + -5 + -0.09x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -0.09x = -6 + -5 -0.09x = -6 + -5 Combine like terms: -6 + -5 = -11 -0.09x = -11 Divide each side by '-0.09'. x = 122.2222222 Simplifying x = 122.2222222
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