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Simplifying 0.75x + 2.6 = 1.35x + -7.2 Reorder the terms: 2.6 + 0.75x = 1.35x + -7.2 Reorder the terms: 2.6 + 0.75x = -7.2 + 1.35x Solving 2.6 + 0.75x = -7.2 + 1.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.35x' to each side of the equation. 2.6 + 0.75x + -1.35x = -7.2 + 1.35x + -1.35x Combine like terms: 0.75x + -1.35x = -0.6x 2.6 + -0.6x = -7.2 + 1.35x + -1.35x Combine like terms: 1.35x + -1.35x = 0.00 2.6 + -0.6x = -7.2 + 0.00 2.6 + -0.6x = -7.2 Add '-2.6' to each side of the equation. 2.6 + -2.6 + -0.6x = -7.2 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -0.6x = -7.2 + -2.6 -0.6x = -7.2 + -2.6 Combine like terms: -7.2 + -2.6 = -9.8 -0.6x = -9.8 Divide each side by '-0.6'. x = 16.33333333 Simplifying x = 16.33333333
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