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Simplifying 0.13513651(56.22x + 5.2) + 5 = 54x + 0.213210000001 Reorder the terms: 0.13513651(5.2 + 56.22x) + 5 = 54x + 0.213210000001 (5.2 * 0.13513651 + 56.22x * 0.13513651) + 5 = 54x + 0.213210000001 (0.702709852 + 7.597374592x) + 5 = 54x + 0.213210000001 Reorder the terms: 0.702709852 + 5 + 7.597374592x = 54x + 0.213210000001 Combine like terms: 0.702709852 + 5 = 5.702709852 5.702709852 + 7.597374592x = 54x + 0.213210000001 Reorder the terms: 5.702709852 + 7.597374592x = 0.213210000001 + 54x Solving 5.702709852 + 7.597374592x = 0.213210000001 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 5.702709852 + 7.597374592x + -54x = 0.213210000001 + 54x + -54x Combine like terms: 7.597374592x + -54x = -46.402625408x 5.702709852 + -46.402625408x = 0.213210000001 + 54x + -54x Combine like terms: 54x + -54x = 0 5.702709852 + -46.402625408x = 0.213210000001 + 0 5.702709852 + -46.402625408x = 0.213210000001 Add '-5.702709852' to each side of the equation. 5.702709852 + -5.702709852 + -46.402625408x = 0.213210000001 + -5.702709852 Combine like terms: 5.702709852 + -5.702709852 = 0.000000000 0.000000000 + -46.402625408x = 0.213210000001 + -5.702709852 -46.402625408x = 0.213210000001 + -5.702709852 Combine like terms: 0.213210000001 + -5.702709852 = -5.489499851999 -46.402625408x = -5.489499851999 Divide each side by '-46.402625408'. x = 0.1183014927 Simplifying x = 0.1183014927
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