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Simplifying 0.66x + 0.6 = 0.75x + 1 Reorder the terms: 0.6 + 0.66x = 0.75x + 1 Reorder the terms: 0.6 + 0.66x = 1 + 0.75x Solving 0.6 + 0.66x = 1 + 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. 0.6 + 0.66x + -0.75x = 1 + 0.75x + -0.75x Combine like terms: 0.66x + -0.75x = -0.09x 0.6 + -0.09x = 1 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 0.6 + -0.09x = 1 + 0.00 0.6 + -0.09x = 1 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.09x = 1 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.09x = 1 + -0.6 -0.09x = 1 + -0.6 Combine like terms: 1 + -0.6 = 0.4 -0.09x = 0.4 Divide each side by '-0.09'. x = -4.444444444 Simplifying x = -4.444444444
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