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Simplifying 164.24 = (x + 6.90) * 3.40 Reorder the terms: 164.24 = (6.90 + x) * 3.40 Reorder the terms for easier multiplication: 164.24 = 3.40(6.90 + x) 164.24 = (6.90 * 3.40 + x * 3.40) 164.24 = (23.46 + 3.40x) Solving 164.24 = 23.46 + 3.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.40x' to each side of the equation. 164.24 + -3.40x = 23.46 + 3.40x + -3.40x Combine like terms: 3.40x + -3.40x = 0.00 164.24 + -3.40x = 23.46 + 0.00 164.24 + -3.40x = 23.46 Add '-164.24' to each side of the equation. 164.24 + -164.24 + -3.40x = 23.46 + -164.24 Combine like terms: 164.24 + -164.24 = 0.00 0.00 + -3.40x = 23.46 + -164.24 -3.40x = 23.46 + -164.24 Combine like terms: 23.46 + -164.24 = -140.78 -3.40x = -140.78 Divide each side by '-3.40'. x = 41.40588235 Simplifying x = 41.40588235
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