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Simplifying -0.09x + 10.2 = -0.02x + 7.5 Reorder the terms: 10.2 + -0.09x = -0.02x + 7.5 Reorder the terms: 10.2 + -0.09x = 7.5 + -0.02x Solving 10.2 + -0.09x = 7.5 + -0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02x' to each side of the equation. 10.2 + -0.09x + 0.02x = 7.5 + -0.02x + 0.02x Combine like terms: -0.09x + 0.02x = -0.07x 10.2 + -0.07x = 7.5 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 10.2 + -0.07x = 7.5 + 0.00 10.2 + -0.07x = 7.5 Add '-10.2' to each side of the equation. 10.2 + -10.2 + -0.07x = 7.5 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -0.07x = 7.5 + -10.2 -0.07x = 7.5 + -10.2 Combine like terms: 7.5 + -10.2 = -2.7 -0.07x = -2.7 Divide each side by '-0.07'. x = 38.57142857 Simplifying x = 38.57142857
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