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Simplifying 0.33x + 7 = 0.75x + 8 Reorder the terms: 7 + 0.33x = 0.75x + 8 Reorder the terms: 7 + 0.33x = 8 + 0.75x Solving 7 + 0.33x = 8 + 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. 7 + 0.33x + -0.75x = 8 + 0.75x + -0.75x Combine like terms: 0.33x + -0.75x = -0.42x 7 + -0.42x = 8 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 7 + -0.42x = 8 + 0.00 7 + -0.42x = 8 Add '-7' to each side of the equation. 7 + -7 + -0.42x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -0.42x = 8 + -7 -0.42x = 8 + -7 Combine like terms: 8 + -7 = 1 -0.42x = 1 Divide each side by '-0.42'. x = -2.380952381 Simplifying x = -2.380952381
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