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Simplifying 378.12 = 160 + 0.82x Solving 378.12 = 160 + 0.82x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.82x' to each side of the equation. 378.12 + -0.82x = 160 + 0.82x + -0.82x Combine like terms: 0.82x + -0.82x = 0.00 378.12 + -0.82x = 160 + 0.00 378.12 + -0.82x = 160 Add '-378.12' to each side of the equation. 378.12 + -378.12 + -0.82x = 160 + -378.12 Combine like terms: 378.12 + -378.12 = 0.00 0.00 + -0.82x = 160 + -378.12 -0.82x = 160 + -378.12 Combine like terms: 160 + -378.12 = -218.12 -0.82x = -218.12 Divide each side by '-0.82'. x = 266 Simplifying x = 266
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